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Finding the Fourth Proportional to 11,737.46, 17,580.13 and 8,399.50

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Solution

The fourth proportional to 11,737.46, 17,580.13 and 8,399.50 is: 12,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.46 : 17,580.13 = 8,399.50 : x
  2. Step 2: Convert to fraction form
    11,737.46/17,580.13 = 8,399.50/x
  3. Step 3: Cross multiply
    11,737.46x = 17,580.13 × 8,399.50
  4. Step 4: Simplify right side
    11,737.46x = 147,664,301.94
  5. Step 5: Solve for x
    x = 147,664,301.94/11,737.46
  6. Step 6: Final answer
    x = 12,580.60

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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.