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Finding the Fourth Proportional to 10,265.54, 15,390.46 and 8,505.14

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Solution

The fourth proportional to 10,265.54, 15,390.46 and 8,505.14 is: 12,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.54 : 15,390.46 = 8,505.14 : x
  2. Step 2: Convert to fraction form
    10,265.54/15,390.46 = 8,505.14/x
  3. Step 3: Cross multiply
    10,265.54x = 15,390.46 × 8,505.14
  4. Step 4: Simplify right side
    10,265.54x = 130,898,016.96
  5. Step 5: Solve for x
    x = 130,898,016.96/10,265.54
  6. Step 6: Final answer
    x = 12,751.21

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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.