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Finding the Fourth Proportional to 7,442.76, 10,278.66 and 6,443.24

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Solution

The fourth proportional to 7,442.76, 10,278.66 and 6,443.24 is: 8,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.76 : 10,278.66 = 6,443.24 : x
  2. Step 2: Convert to fraction form
    7,442.76/10,278.66 = 6,443.24/x
  3. Step 3: Cross multiply
    7,442.76x = 10,278.66 × 6,443.24
  4. Step 4: Simplify right side
    7,442.76x = 66,227,873.26
  5. Step 5: Solve for x
    x = 66,227,873.26/7,442.76
  6. Step 6: Final answer
    x = 8,898.29

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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.