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Finding the Fourth Proportional to 7,747.13, 10,719.18 and 6,754.47

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Solution

The fourth proportional to 7,747.13, 10,719.18 and 6,754.47 is: 9,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.13 : 10,719.18 = 6,754.47 : x
  2. Step 2: Convert to fraction form
    7,747.13/10,719.18 = 6,754.47/x
  3. Step 3: Cross multiply
    7,747.13x = 10,719.18 × 6,754.47
  4. Step 4: Simplify right side
    7,747.13x = 72,402,379.73
  5. Step 5: Solve for x
    x = 72,402,379.73/7,747.13
  6. Step 6: Final answer
    x = 9,345.71

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