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Finding the Fourth Proportional to 10,488.73, 14,474.17 and 5,708.77

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Solution

The fourth proportional to 10,488.73, 14,474.17 and 5,708.77 is: 7,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.73 : 14,474.17 = 5,708.77 : x
  2. Step 2: Convert to fraction form
    10,488.73/14,474.17 = 5,708.77/x
  3. Step 3: Cross multiply
    10,488.73x = 14,474.17 × 5,708.77
  4. Step 4: Simplify right side
    10,488.73x = 82,629,606.56
  5. Step 5: Solve for x
    x = 82,629,606.56/10,488.73
  6. Step 6: Final answer
    x = 7,877.95

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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.