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Finding the Fourth Proportional to 8,242.74, 12,356.67 and 3,044.98

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Solution

The fourth proportional to 8,242.74, 12,356.67 and 3,044.98 is: 4,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.74 : 12,356.67 = 3,044.98 : x
  2. Step 2: Convert to fraction form
    8,242.74/12,356.67 = 3,044.98/x
  3. Step 3: Cross multiply
    8,242.74x = 12,356.67 × 3,044.98
  4. Step 4: Simplify right side
    8,242.74x = 37,625,813.02
  5. Step 5: Solve for x
    x = 37,625,813.02/8,242.74
  6. Step 6: Final answer
    x = 4,564.72

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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.