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Finding the Fourth Proportional to 7,392.64, 11,082.40 and 5,442.24

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Solution

The fourth proportional to 7,392.64, 11,082.40 and 5,442.24 is: 8,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.64 : 11,082.40 = 5,442.24 : x
  2. Step 2: Convert to fraction form
    7,392.64/11,082.40 = 5,442.24/x
  3. Step 3: Cross multiply
    7,392.64x = 11,082.40 × 5,442.24
  4. Step 4: Simplify right side
    7,392.64x = 60,313,080.58
  5. Step 5: Solve for x
    x = 60,313,080.58/7,392.64
  6. Step 6: Final answer
    x = 8,158.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.