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Finding the Fourth Proportional to 11,534.92, 15,918.24 and 6,498.88

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Solution

The fourth proportional to 11,534.92, 15,918.24 and 6,498.88 is: 8,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.92 : 15,918.24 = 6,498.88 : x
  2. Step 2: Convert to fraction form
    11,534.92/15,918.24 = 6,498.88/x
  3. Step 3: Cross multiply
    11,534.92x = 15,918.24 × 6,498.88
  4. Step 4: Simplify right side
    11,534.92x = 103,450,731.57
  5. Step 5: Solve for x
    x = 103,450,731.57/11,534.92
  6. Step 6: Final answer
    x = 8,968.48

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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.