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Finding the Fourth Proportional to 7,685.59, 11,532.63 and 7,127.90

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Solution

The fourth proportional to 7,685.59, 11,532.63 and 7,127.90 is: 10,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.59 : 11,532.63 = 7,127.90 : x
  2. Step 2: Convert to fraction form
    7,685.59/11,532.63 = 7,127.90/x
  3. Step 3: Cross multiply
    7,685.59x = 11,532.63 × 7,127.90
  4. Step 4: Simplify right side
    7,685.59x = 82,203,433.38
  5. Step 5: Solve for x
    x = 82,203,433.38/7,685.59
  6. Step 6: Final answer
    x = 10,695.79

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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.