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Finding the Fourth Proportional to 11,478.66, 15,839.58 and 6,442.20

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Solution

The fourth proportional to 11,478.66, 15,839.58 and 6,442.20 is: 8,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.66 : 15,839.58 = 6,442.20 : x
  2. Step 2: Convert to fraction form
    11,478.66/15,839.58 = 6,442.20/x
  3. Step 3: Cross multiply
    11,478.66x = 15,839.58 × 6,442.20
  4. Step 4: Simplify right side
    11,478.66x = 102,041,742.28
  5. Step 5: Solve for x
    x = 102,041,742.28/11,478.66
  6. Step 6: Final answer
    x = 8,889.69

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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.