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Finding the Fourth Proportional to 11,737.95, 16,200.50 and 7,490.31

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Solution

The fourth proportional to 11,737.95, 16,200.50 and 7,490.31 is: 10,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.95 : 16,200.50 = 7,490.31 : x
  2. Step 2: Convert to fraction form
    11,737.95/16,200.50 = 7,490.31/x
  3. Step 3: Cross multiply
    11,737.95x = 16,200.50 × 7,490.31
  4. Step 4: Simplify right side
    11,737.95x = 121,346,729.70
  5. Step 5: Solve for x
    x = 121,346,729.70/11,737.95
  6. Step 6: Final answer
    x = 10,337.98

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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.