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Finding the Fourth Proportional to 8,518.24, 12,780.64 and 3,898

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Solution

The fourth proportional to 8,518.24, 12,780.64 and 3,898 is: 5,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.24 : 12,780.64 = 3,898 : x
  2. Step 2: Convert to fraction form
    8,518.24/12,780.64 = 3,898/x
  3. Step 3: Cross multiply
    8,518.24x = 12,780.64 × 3,898
  4. Step 4: Simplify right side
    8,518.24x = 49,818,934.72
  5. Step 5: Solve for x
    x = 49,818,934.72/8,518.24
  6. Step 6: Final answer
    x = 5,848.50

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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.