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Finding the Fourth Proportional to 11,869.64, 16,382.22 and 7,156.52

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Solution

The fourth proportional to 11,869.64, 16,382.22 and 7,156.52 is: 9,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.64 : 16,382.22 = 7,156.52 : x
  2. Step 2: Convert to fraction form
    11,869.64/16,382.22 = 7,156.52/x
  3. Step 3: Cross multiply
    11,869.64x = 16,382.22 × 7,156.52
  4. Step 4: Simplify right side
    11,869.64x = 117,239,685.07
  5. Step 5: Solve for x
    x = 117,239,685.07/11,869.64
  6. Step 6: Final answer
    x = 9,877.27

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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.