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Finding the Fourth Proportional to 11,513.88, 15,884.16 and 7,261.58

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Solution

The fourth proportional to 11,513.88, 15,884.16 and 7,261.58 is: 10,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.88 : 15,884.16 = 7,261.58 : x
  2. Step 2: Convert to fraction form
    11,513.88/15,884.16 = 7,261.58/x
  3. Step 3: Cross multiply
    11,513.88x = 15,884.16 × 7,261.58
  4. Step 4: Simplify right side
    11,513.88x = 115,344,098.57
  5. Step 5: Solve for x
    x = 115,344,098.57/11,513.88
  6. Step 6: Final answer
    x = 10,017.83

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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.