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Finding the Fourth Proportional to 11,478.60, 15,841.08 and 6,442.56

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Solution

The fourth proportional to 11,478.60, 15,841.08 and 6,442.56 is: 8,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.60 : 15,841.08 = 6,442.56 : x
  2. Step 2: Convert to fraction form
    11,478.60/15,841.08 = 6,442.56/x
  3. Step 3: Cross multiply
    11,478.60x = 15,841.08 × 6,442.56
  4. Step 4: Simplify right side
    11,478.60x = 102,057,108.36
  5. Step 5: Solve for x
    x = 102,057,108.36/11,478.60
  6. Step 6: Final answer
    x = 8,891.08

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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.