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Finding the Fourth Proportional to 7,123.66, 10,691.15 and 4,006.78

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Solution

The fourth proportional to 7,123.66, 10,691.15 and 4,006.78 is: 6,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.66 : 10,691.15 = 4,006.78 : x
  2. Step 2: Convert to fraction form
    7,123.66/10,691.15 = 4,006.78/x
  3. Step 3: Cross multiply
    7,123.66x = 10,691.15 × 4,006.78
  4. Step 4: Simplify right side
    7,123.66x = 42,837,086.00
  5. Step 5: Solve for x
    x = 42,837,086.00/7,123.66
  6. Step 6: Final answer
    x = 6,013.35

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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.