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Finding the Fourth Proportional to 7,132.86, 10,685.04 and 6,523.74

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Solution

The fourth proportional to 7,132.86, 10,685.04 and 6,523.74 is: 9,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.86 : 10,685.04 = 6,523.74 : x
  2. Step 2: Convert to fraction form
    7,132.86/10,685.04 = 6,523.74/x
  3. Step 3: Cross multiply
    7,132.86x = 10,685.04 × 6,523.74
  4. Step 4: Simplify right side
    7,132.86x = 69,706,422.85
  5. Step 5: Solve for x
    x = 69,706,422.85/7,132.86
  6. Step 6: Final answer
    x = 9,772.58

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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.