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Finding the Fourth Proportional to 7,747.61, 10,691.76 and 4,210.82

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Solution

The fourth proportional to 7,747.61, 10,691.76 and 4,210.82 is: 5,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.61 : 10,691.76 = 4,210.82 : x
  2. Step 2: Convert to fraction form
    7,747.61/10,691.76 = 4,210.82/x
  3. Step 3: Cross multiply
    7,747.61x = 10,691.76 × 4,210.82
  4. Step 4: Simplify right side
    7,747.61x = 45,021,023.38
  5. Step 5: Solve for x
    x = 45,021,023.38/7,747.61
  6. Step 6: Final answer
    x = 5,810.96

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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.