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Finding the Fourth Proportional to 7,737.04, 10,672.26 and 4,591

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Solution

The fourth proportional to 7,737.04, 10,672.26 and 4,591 is: 6,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.04 : 10,672.26 = 4,591 : x
  2. Step 2: Convert to fraction form
    7,737.04/10,672.26 = 4,591/x
  3. Step 3: Cross multiply
    7,737.04x = 10,672.26 × 4,591
  4. Step 4: Simplify right side
    7,737.04x = 48,996,345.66
  5. Step 5: Solve for x
    x = 48,996,345.66/7,737.04
  6. Step 6: Final answer
    x = 6,332.70

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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.