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Finding the Fourth Proportional to 11,479.29, 15,840.12 and 6,442.47

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Solution

The fourth proportional to 11,479.29, 15,840.12 and 6,442.47 is: 8,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479.29 : 15,840.12 = 6,442.47 : x
  2. Step 2: Convert to fraction form
    11,479.29/15,840.12 = 6,442.47/x
  3. Step 3: Cross multiply
    11,479.29x = 15,840.12 × 6,442.47
  4. Step 4: Simplify right side
    11,479.29x = 102,049,497.90
  5. Step 5: Solve for x
    x = 102,049,497.90/11,479.29
  6. Step 6: Final answer
    x = 8,889.88

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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.