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Finding the Fourth Proportional to 7,737.91, 10,666.20 and 6,476.74

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Solution

The fourth proportional to 7,737.91, 10,666.20 and 6,476.74 is: 8,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.91 : 10,666.20 = 6,476.74 : x
  2. Step 2: Convert to fraction form
    7,737.91/10,666.20 = 6,476.74/x
  3. Step 3: Cross multiply
    7,737.91x = 10,666.20 × 6,476.74
  4. Step 4: Simplify right side
    7,737.91x = 69,082,150.86
  5. Step 5: Solve for x
    x = 69,082,150.86/7,737.91
  6. Step 6: Final answer
    x = 8,927.76

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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.