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Finding the Fourth Proportional to 10,265.13, 15,371.44 and 8,188.16

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Solution

The fourth proportional to 10,265.13, 15,371.44 and 8,188.16 is: 12,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.13 : 15,371.44 = 8,188.16 : x
  2. Step 2: Convert to fraction form
    10,265.13/15,371.44 = 8,188.16/x
  3. Step 3: Cross multiply
    10,265.13x = 15,371.44 × 8,188.16
  4. Step 4: Simplify right side
    10,265.13x = 125,863,712.82
  5. Step 5: Solve for x
    x = 125,863,712.82/10,265.13
  6. Step 6: Final answer
    x = 12,261.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.