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Finding the Fourth Proportional to 10,033.92, 15,045.78 and 5,875.23

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Solution

The fourth proportional to 10,033.92, 15,045.78 and 5,875.23 is: 8,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.92 : 15,045.78 = 5,875.23 : x
  2. Step 2: Convert to fraction form
    10,033.92/15,045.78 = 5,875.23/x
  3. Step 3: Cross multiply
    10,033.92x = 15,045.78 × 5,875.23
  4. Step 4: Simplify right side
    10,033.92x = 88,397,418.03
  5. Step 5: Solve for x
    x = 88,397,418.03/10,033.92
  6. Step 6: Final answer
    x = 8,809.86

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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.