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Finding the Fourth Proportional to 11,351.61, 15,660.32 and 6,503.76

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Solution

The fourth proportional to 11,351.61, 15,660.32 and 6,503.76 is: 8,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.61 : 15,660.32 = 6,503.76 : x
  2. Step 2: Convert to fraction form
    11,351.61/15,660.32 = 6,503.76/x
  3. Step 3: Cross multiply
    11,351.61x = 15,660.32 × 6,503.76
  4. Step 4: Simplify right side
    11,351.61x = 101,850,930.28
  5. Step 5: Solve for x
    x = 101,850,930.28/11,351.61
  6. Step 6: Final answer
    x = 8,972.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.