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Finding the Fourth Proportional to 10,130.31, 15,206.40 and 8,504.64

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Solution

The fourth proportional to 10,130.31, 15,206.40 and 8,504.64 is: 12,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.31 : 15,206.40 = 8,504.64 : x
  2. Step 2: Convert to fraction form
    10,130.31/15,206.40 = 8,504.64/x
  3. Step 3: Cross multiply
    10,130.31x = 15,206.40 × 8,504.64
  4. Step 4: Simplify right side
    10,130.31x = 129,324,957.70
  5. Step 5: Solve for x
    x = 129,324,957.70/10,130.31
  6. Step 6: Final answer
    x = 12,766.14

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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.