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Finding the Fourth Proportional to 7,776,234.70, 11,678,348.85 and 5,648,721.10

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Solution

The fourth proportional to 7,776,234.70, 11,678,348.85 and 5,648,721.10 is: 8,483,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776,234.70 : 11,678,348.85 = 5,648,721.10 : x
  2. Step 2: Convert to fraction form
    7,776,234.70/11,678,348.85 = 5,648,721.10/x
  3. Step 3: Cross multiply
    7,776,234.70x = 11,678,348.85 × 5,648,721.10
  4. Step 4: Simplify right side
    7,776,234.70x = 65,967,735,562,155.73
  5. Step 5: Solve for x
    x = 65,967,735,562,155.73/7,776,234.70
  6. Step 6: Final answer
    x = 8,483,249.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.