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Finding the Fourth Proportional to 11,478.72, 15,840.90 and 6,442.68

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Solution

The fourth proportional to 11,478.72, 15,840.90 and 6,442.68 is: 8,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.72 : 15,840.90 = 6,442.68 : x
  2. Step 2: Convert to fraction form
    11,478.72/15,840.90 = 6,442.68/x
  3. Step 3: Cross multiply
    11,478.72x = 15,840.90 × 6,442.68
  4. Step 4: Simplify right side
    11,478.72x = 102,057,849.61
  5. Step 5: Solve for x
    x = 102,057,849.61/11,478.72
  6. Step 6: Final answer
    x = 8,891.05

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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.