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Finding the Fourth Proportional to 11,442.28, 15,792.03 and 6,968.65

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Solution

The fourth proportional to 11,442.28, 15,792.03 and 6,968.65 is: 9,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.28 : 15,792.03 = 6,968.65 : x
  2. Step 2: Convert to fraction form
    11,442.28/15,792.03 = 6,968.65/x
  3. Step 3: Cross multiply
    11,442.28x = 15,792.03 × 6,968.65
  4. Step 4: Simplify right side
    11,442.28x = 110,049,129.86
  5. Step 5: Solve for x
    x = 110,049,129.86/11,442.28
  6. Step 6: Final answer
    x = 9,617.76

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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.