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Finding the Fourth Proportional to 10,442.52, 15,664.32 and 5,242.32

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Solution

The fourth proportional to 10,442.52, 15,664.32 and 5,242.32 is: 7,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.52 : 15,664.32 = 5,242.32 : x
  2. Step 2: Convert to fraction form
    10,442.52/15,664.32 = 5,242.32/x
  3. Step 3: Cross multiply
    10,442.52x = 15,664.32 × 5,242.32
  4. Step 4: Simplify right side
    10,442.52x = 82,117,378.02
  5. Step 5: Solve for x
    x = 82,117,378.02/10,442.52
  6. Step 6: Final answer
    x = 7,863.75

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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.