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Finding the Fourth Proportional to 10,616.52, 15,926.83 and 5,691.67

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Solution

The fourth proportional to 10,616.52, 15,926.83 and 5,691.67 is: 8,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.52 : 15,926.83 = 5,691.67 : x
  2. Step 2: Convert to fraction form
    10,616.52/15,926.83 = 5,691.67/x
  3. Step 3: Cross multiply
    10,616.52x = 15,926.83 × 5,691.67
  4. Step 4: Simplify right side
    10,616.52x = 90,650,206.46
  5. Step 5: Solve for x
    x = 90,650,206.46/10,616.52
  6. Step 6: Final answer
    x = 8,538.60

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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.