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Finding the Fourth Proportional to 11,464.52, 15,821.18 and 6,429.82

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Solution

The fourth proportional to 11,464.52, 15,821.18 and 6,429.82 is: 8,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.52 : 15,821.18 = 6,429.82 : x
  2. Step 2: Convert to fraction form
    11,464.52/15,821.18 = 6,429.82/x
  3. Step 3: Cross multiply
    11,464.52x = 15,821.18 × 6,429.82
  4. Step 4: Simplify right side
    11,464.52x = 101,727,339.59
  5. Step 5: Solve for x
    x = 101,727,339.59/11,464.52
  6. Step 6: Final answer
    x = 8,873.23

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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.