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Finding the Fourth Proportional to 11,368.56, 17,078.76 and 10,902

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Solution

The fourth proportional to 11,368.56, 17,078.76 and 10,902 is: 16,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.56 : 17,078.76 = 10,902 : x
  2. Step 2: Convert to fraction form
    11,368.56/17,078.76 = 10,902/x
  3. Step 3: Cross multiply
    11,368.56x = 17,078.76 × 10,902
  4. Step 4: Simplify right side
    11,368.56x = 186,192,641.52
  5. Step 5: Solve for x
    x = 186,192,641.52/11,368.56
  6. Step 6: Final answer
    x = 16,377.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.