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Finding the Fourth Proportional to 11,470.92, 15,832.16 and 7,442.79

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Solution

The fourth proportional to 11,470.92, 15,832.16 and 7,442.79 is: 10,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.92 : 15,832.16 = 7,442.79 : x
  2. Step 2: Convert to fraction form
    11,470.92/15,832.16 = 7,442.79/x
  3. Step 3: Cross multiply
    11,470.92x = 15,832.16 × 7,442.79
  4. Step 4: Simplify right side
    11,470.92x = 117,835,373.45
  5. Step 5: Solve for x
    x = 117,835,373.45/11,470.92
  6. Step 6: Final answer
    x = 10,272.53

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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.