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Finding the Fourth Proportional to 6,154.82, 8,494.16 and 5,032.61

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Solution

The fourth proportional to 6,154.82, 8,494.16 and 5,032.61 is: 6,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.82 : 8,494.16 = 5,032.61 : x
  2. Step 2: Convert to fraction form
    6,154.82/8,494.16 = 5,032.61/x
  3. Step 3: Cross multiply
    6,154.82x = 8,494.16 × 5,032.61
  4. Step 4: Simplify right side
    6,154.82x = 42,747,726.92
  5. Step 5: Solve for x
    x = 42,747,726.92/6,154.82
  6. Step 6: Final answer
    x = 6,945.41

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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.