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Finding the Fourth Proportional to 11,498.10, 15,863.22 and 7,521.48

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Solution

The fourth proportional to 11,498.10, 15,863.22 and 7,521.48 is: 10,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.10 : 15,863.22 = 7,521.48 : x
  2. Step 2: Convert to fraction form
    11,498.10/15,863.22 = 7,521.48/x
  3. Step 3: Cross multiply
    11,498.10x = 15,863.22 × 7,521.48
  4. Step 4: Simplify right side
    11,498.10x = 119,314,891.97
  5. Step 5: Solve for x
    x = 119,314,891.97/11,498.10
  6. Step 6: Final answer
    x = 10,376.92

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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.