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Finding the Fourth Proportional to 11,868.60, 16,382.04 and 7,153.17

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Solution

The fourth proportional to 11,868.60, 16,382.04 and 7,153.17 is: 9,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.60 : 16,382.04 = 7,153.17 : x
  2. Step 2: Convert to fraction form
    11,868.60/16,382.04 = 7,153.17/x
  3. Step 3: Cross multiply
    11,868.60x = 16,382.04 × 7,153.17
  4. Step 4: Simplify right side
    11,868.60x = 117,183,517.07
  5. Step 5: Solve for x
    x = 117,183,517.07/11,868.60
  6. Step 6: Final answer
    x = 9,873.41

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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.