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Finding the Fourth Proportional to 10,492.29, 15,737.94 and 3,917.97

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Solution

The fourth proportional to 10,492.29, 15,737.94 and 3,917.97 is: 5,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.29 : 15,737.94 = 3,917.97 : x
  2. Step 2: Convert to fraction form
    10,492.29/15,737.94 = 3,917.97/x
  3. Step 3: Cross multiply
    10,492.29x = 15,737.94 × 3,917.97
  4. Step 4: Simplify right side
    10,492.29x = 61,660,776.78
  5. Step 5: Solve for x
    x = 61,660,776.78/10,492.29
  6. Step 6: Final answer
    x = 5,876.77

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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.