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Finding the Fourth Proportional to 10,359.40, 15,523.26 and 7,760.68

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Solution

The fourth proportional to 10,359.40, 15,523.26 and 7,760.68 is: 11,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.40 : 15,523.26 = 7,760.68 : x
  2. Step 2: Convert to fraction form
    10,359.40/15,523.26 = 7,760.68/x
  3. Step 3: Cross multiply
    10,359.40x = 15,523.26 × 7,760.68
  4. Step 4: Simplify right side
    10,359.40x = 120,471,053.42
  5. Step 5: Solve for x
    x = 120,471,053.42/10,359.40
  6. Step 6: Final answer
    x = 11,629.15

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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.