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Finding the Fourth Proportional to 11,549.23, 15,937.08 and 6,513.19

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Solution

The fourth proportional to 11,549.23, 15,937.08 and 6,513.19 is: 8,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.23 : 15,937.08 = 6,513.19 : x
  2. Step 2: Convert to fraction form
    11,549.23/15,937.08 = 6,513.19/x
  3. Step 3: Cross multiply
    11,549.23x = 15,937.08 × 6,513.19
  4. Step 4: Simplify right side
    11,549.23x = 103,801,230.09
  5. Step 5: Solve for x
    x = 103,801,230.09/11,549.23
  6. Step 6: Final answer
    x = 8,987.72

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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.