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Finding the Fourth Proportional to 11,863.12, 16,368.78 and 7,147.72

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Solution

The fourth proportional to 11,863.12, 16,368.78 and 7,147.72 is: 9,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.12 : 16,368.78 = 7,147.72 : x
  2. Step 2: Convert to fraction form
    11,863.12/16,368.78 = 7,147.72/x
  3. Step 3: Cross multiply
    11,863.12x = 16,368.78 × 7,147.72
  4. Step 4: Simplify right side
    11,863.12x = 116,999,456.18
  5. Step 5: Solve for x
    x = 116,999,456.18/11,863.12
  6. Step 6: Final answer
    x = 9,862.45

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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.