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Finding the Fourth Proportional to 10,863.52, 16,197.98 and 10,666.69

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Solution

The fourth proportional to 10,863.52, 16,197.98 and 10,666.69 is: 15,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.52 : 16,197.98 = 10,666.69 : x
  2. Step 2: Convert to fraction form
    10,863.52/16,197.98 = 10,666.69/x
  3. Step 3: Cross multiply
    10,863.52x = 16,197.98 × 10,666.69
  4. Step 4: Simplify right side
    10,863.52x = 172,778,737.46
  5. Step 5: Solve for x
    x = 172,778,737.46/10,863.52
  6. Step 6: Final answer
    x = 15,904.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.