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Finding the Fourth Proportional to 10,502.25, 15,755 and 3,929.37

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Solution

The fourth proportional to 10,502.25, 15,755 and 3,929.37 is: 5,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.25 : 15,755 = 3,929.37 : x
  2. Step 2: Convert to fraction form
    10,502.25/15,755 = 3,929.37/x
  3. Step 3: Cross multiply
    10,502.25x = 15,755 × 3,929.37
  4. Step 4: Simplify right side
    10,502.25x = 61,907,224.35
  5. Step 5: Solve for x
    x = 61,907,224.35/10,502.25
  6. Step 6: Final answer
    x = 5,894.66

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