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Finding the Fourth Proportional to 11,469.42, 15,827.97 and 6,689.23

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Solution

The fourth proportional to 11,469.42, 15,827.97 and 6,689.23 is: 9,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.42 : 15,827.97 = 6,689.23 : x
  2. Step 2: Convert to fraction form
    11,469.42/15,827.97 = 6,689.23/x
  3. Step 3: Cross multiply
    11,469.42x = 15,827.97 × 6,689.23
  4. Step 4: Simplify right side
    11,469.42x = 105,876,931.76
  5. Step 5: Solve for x
    x = 105,876,931.76/11,469.42
  6. Step 6: Final answer
    x = 9,231.24

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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.