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Finding the Fourth Proportional to 10,381.67, 15,580.83 and 5,454.23

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Solution

The fourth proportional to 10,381.67, 15,580.83 and 5,454.23 is: 8,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.67 : 15,580.83 = 5,454.23 : x
  2. Step 2: Convert to fraction form
    10,381.67/15,580.83 = 5,454.23/x
  3. Step 3: Cross multiply
    10,381.67x = 15,580.83 × 5,454.23
  4. Step 4: Simplify right side
    10,381.67x = 84,981,430.41
  5. Step 5: Solve for x
    x = 84,981,430.41/10,381.67
  6. Step 6: Final answer
    x = 8,185.72

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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.