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Finding the Fourth Proportional to 11,309.16, 15,588.66 and 8,915.25

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Solution

The fourth proportional to 11,309.16, 15,588.66 and 8,915.25 is: 12,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.16 : 15,588.66 = 8,915.25 : x
  2. Step 2: Convert to fraction form
    11,309.16/15,588.66 = 8,915.25/x
  3. Step 3: Cross multiply
    11,309.16x = 15,588.66 × 8,915.25
  4. Step 4: Simplify right side
    11,309.16x = 138,976,801.07
  5. Step 5: Solve for x
    x = 138,976,801.07/11,309.16
  6. Step 6: Final answer
    x = 12,288.87

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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.