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Finding the Fourth Proportional to 10,265.16, 15,410.49 and 10,217.78

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Solution

The fourth proportional to 10,265.16, 15,410.49 and 10,217.78 is: 15,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.16 : 15,410.49 = 10,217.78 : x
  2. Step 2: Convert to fraction form
    10,265.16/15,410.49 = 10,217.78/x
  3. Step 3: Cross multiply
    10,265.16x = 15,410.49 × 10,217.78
  4. Step 4: Simplify right side
    10,265.16x = 157,460,996.51
  5. Step 5: Solve for x
    x = 157,460,996.51/10,265.16
  6. Step 6: Final answer
    x = 15,339.36

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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.