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Finding the Fourth Proportional to 11,902.19, 16,426.04 and 6,866.63

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Solution

The fourth proportional to 11,902.19, 16,426.04 and 6,866.63 is: 9,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.19 : 16,426.04 = 6,866.63 : x
  2. Step 2: Convert to fraction form
    11,902.19/16,426.04 = 6,866.63/x
  3. Step 3: Cross multiply
    11,902.19x = 16,426.04 × 6,866.63
  4. Step 4: Simplify right side
    11,902.19x = 112,791,422.58
  5. Step 5: Solve for x
    x = 112,791,422.58/11,902.19
  6. Step 6: Final answer
    x = 9,476.53

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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.