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Finding the Fourth Proportional to 7,760.47, 10,710.50 and 7,549.40

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Solution

The fourth proportional to 7,760.47, 10,710.50 and 7,549.40 is: 10,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.47 : 10,710.50 = 7,549.40 : x
  2. Step 2: Convert to fraction form
    7,760.47/10,710.50 = 7,549.40/x
  3. Step 3: Cross multiply
    7,760.47x = 10,710.50 × 7,549.40
  4. Step 4: Simplify right side
    7,760.47x = 80,857,757.40
  5. Step 5: Solve for x
    x = 80,857,757.40/7,760.47
  6. Step 6: Final answer
    x = 10,419.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.