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Finding the Fourth Proportional to 10,293.42, 15,442.54 and 5,293.92

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Solution

The fourth proportional to 10,293.42, 15,442.54 and 5,293.92 is: 7,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.42 : 15,442.54 = 5,293.92 : x
  2. Step 2: Convert to fraction form
    10,293.42/15,442.54 = 5,293.92/x
  3. Step 3: Cross multiply
    10,293.42x = 15,442.54 × 5,293.92
  4. Step 4: Simplify right side
    10,293.42x = 81,751,571.36
  5. Step 5: Solve for x
    x = 81,751,571.36/10,293.42
  6. Step 6: Final answer
    x = 7,942.12

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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.