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Finding the Fourth Proportional to 10,256.75, 15,385.13 and 3,237.47

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Solution

The fourth proportional to 10,256.75, 15,385.13 and 3,237.47 is: 4,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.75 : 15,385.13 = 3,237.47 : x
  2. Step 2: Convert to fraction form
    10,256.75/15,385.13 = 3,237.47/x
  3. Step 3: Cross multiply
    10,256.75x = 15,385.13 × 3,237.47
  4. Step 4: Simplify right side
    10,256.75x = 49,808,914.26
  5. Step 5: Solve for x
    x = 49,808,914.26/10,256.75
  6. Step 6: Final answer
    x = 4,856.21

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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.