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Finding the Fourth Proportional to 11,862.24, 16,371.36 and 7,667.52

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Solution

The fourth proportional to 11,862.24, 16,371.36 and 7,667.52 is: 10,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.24 : 16,371.36 = 7,667.52 : x
  2. Step 2: Convert to fraction form
    11,862.24/16,371.36 = 7,667.52/x
  3. Step 3: Cross multiply
    11,862.24x = 16,371.36 × 7,667.52
  4. Step 4: Simplify right side
    11,862.24x = 125,527,730.23
  5. Step 5: Solve for x
    x = 125,527,730.23/11,862.24
  6. Step 6: Final answer
    x = 10,582.13

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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.