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Finding the Fourth Proportional to 11,862.88, 16,366.02 and 7,146.52

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Solution

The fourth proportional to 11,862.88, 16,366.02 and 7,146.52 is: 9,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.88 : 16,366.02 = 7,146.52 : x
  2. Step 2: Convert to fraction form
    11,862.88/16,366.02 = 7,146.52/x
  3. Step 3: Cross multiply
    11,862.88x = 16,366.02 × 7,146.52
  4. Step 4: Simplify right side
    11,862.88x = 116,960,089.25
  5. Step 5: Solve for x
    x = 116,960,089.25/11,862.88
  6. Step 6: Final answer
    x = 9,859.33

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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.