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Finding the Fourth Proportional to 10,737.68, 16,089.16 and 5,809.64

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Solution

The fourth proportional to 10,737.68, 16,089.16 and 5,809.64 is: 8,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.68 : 16,089.16 = 5,809.64 : x
  2. Step 2: Convert to fraction form
    10,737.68/16,089.16 = 5,809.64/x
  3. Step 3: Cross multiply
    10,737.68x = 16,089.16 × 5,809.64
  4. Step 4: Simplify right side
    10,737.68x = 93,472,227.50
  5. Step 5: Solve for x
    x = 93,472,227.50/10,737.68
  6. Step 6: Final answer
    x = 8,705.07

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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.