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Finding the Fourth Proportional to 7,669.47, 11,505.47 and 2,737.79

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Solution

The fourth proportional to 7,669.47, 11,505.47 and 2,737.79 is: 4,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.47 : 11,505.47 = 2,737.79 : x
  2. Step 2: Convert to fraction form
    7,669.47/11,505.47 = 2,737.79/x
  3. Step 3: Cross multiply
    7,669.47x = 11,505.47 × 2,737.79
  4. Step 4: Simplify right side
    7,669.47x = 31,499,489.50
  5. Step 5: Solve for x
    x = 31,499,489.50/7,669.47
  6. Step 6: Final answer
    x = 4,107.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.