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Finding the Fourth Proportional to 11,585.52, 15,988.29 and 6,869.82

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Solution

The fourth proportional to 11,585.52, 15,988.29 and 6,869.82 is: 9,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.52 : 15,988.29 = 6,869.82 : x
  2. Step 2: Convert to fraction form
    11,585.52/15,988.29 = 6,869.82/x
  3. Step 3: Cross multiply
    11,585.52x = 15,988.29 × 6,869.82
  4. Step 4: Simplify right side
    11,585.52x = 109,836,674.41
  5. Step 5: Solve for x
    x = 109,836,674.41/11,585.52
  6. Step 6: Final answer
    x = 9,480.51

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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.