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Finding the Fourth Proportional to 11,863.40, 16,373.13 and 6,827.53

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Solution

The fourth proportional to 11,863.40, 16,373.13 and 6,827.53 is: 9,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.40 : 16,373.13 = 6,827.53 : x
  2. Step 2: Convert to fraction form
    11,863.40/16,373.13 = 6,827.53/x
  3. Step 3: Cross multiply
    11,863.40x = 16,373.13 × 6,827.53
  4. Step 4: Simplify right side
    11,863.40x = 111,788,036.27
  5. Step 5: Solve for x
    x = 111,788,036.27/11,863.40
  6. Step 6: Final answer
    x = 9,422.93

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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.