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Finding the Fourth Proportional to 11,517.53, 15,894.36 and 7,040.32

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Solution

The fourth proportional to 11,517.53, 15,894.36 and 7,040.32 is: 9,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.53 : 15,894.36 = 7,040.32 : x
  2. Step 2: Convert to fraction form
    11,517.53/15,894.36 = 7,040.32/x
  3. Step 3: Cross multiply
    11,517.53x = 15,894.36 × 7,040.32
  4. Step 4: Simplify right side
    11,517.53x = 111,901,340.86
  5. Step 5: Solve for x
    x = 111,901,340.86/11,517.53
  6. Step 6: Final answer
    x = 9,715.75

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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.