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Finding the Fourth Proportional to 7,748.14, 10,691.98 and 4,211.32

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Solution

The fourth proportional to 7,748.14, 10,691.98 and 4,211.32 is: 5,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.14 : 10,691.98 = 4,211.32 : x
  2. Step 2: Convert to fraction form
    7,748.14/10,691.98 = 4,211.32/x
  3. Step 3: Cross multiply
    7,748.14x = 10,691.98 × 4,211.32
  4. Step 4: Simplify right side
    7,748.14x = 45,027,386.47
  5. Step 5: Solve for x
    x = 45,027,386.47/7,748.14
  6. Step 6: Final answer
    x = 5,811.38

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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.