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Finding the Fourth Proportional to 10,348.35, 15,497.73 and 5,661.33

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Solution

The fourth proportional to 10,348.35, 15,497.73 and 5,661.33 is: 8,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.35 : 15,497.73 = 5,661.33 : x
  2. Step 2: Convert to fraction form
    10,348.35/15,497.73 = 5,661.33/x
  3. Step 3: Cross multiply
    10,348.35x = 15,497.73 × 5,661.33
  4. Step 4: Simplify right side
    10,348.35x = 87,737,763.78
  5. Step 5: Solve for x
    x = 87,737,763.78/10,348.35
  6. Step 6: Final answer
    x = 8,478.43

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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.