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Finding the Fourth Proportional to 7,747.41, 10,691.07 and 4,390.16

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Solution

The fourth proportional to 7,747.41, 10,691.07 and 4,390.16 is: 6,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.41 : 10,691.07 = 4,390.16 : x
  2. Step 2: Convert to fraction form
    7,747.41/10,691.07 = 4,390.16/x
  3. Step 3: Cross multiply
    7,747.41x = 10,691.07 × 4,390.16
  4. Step 4: Simplify right side
    7,747.41x = 46,935,507.87
  5. Step 5: Solve for x
    x = 46,935,507.87/7,747.41
  6. Step 6: Final answer
    x = 6,058.22

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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.