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Finding the Fourth Proportional to 11,494.52, 15,862.90 and 6,458.72

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Solution

The fourth proportional to 11,494.52, 15,862.90 and 6,458.72 is: 8,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.52 : 15,862.90 = 6,458.72 : x
  2. Step 2: Convert to fraction form
    11,494.52/15,862.90 = 6,458.72/x
  3. Step 3: Cross multiply
    11,494.52x = 15,862.90 × 6,458.72
  4. Step 4: Simplify right side
    11,494.52x = 102,454,029.49
  5. Step 5: Solve for x
    x = 102,454,029.49/11,494.52
  6. Step 6: Final answer
    x = 8,913.30

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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.