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Finding the Fourth Proportional to 10,348.30, 15,538.65 and 5,974.30

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Solution

The fourth proportional to 10,348.30, 15,538.65 and 5,974.30 is: 8,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.30 : 15,538.65 = 5,974.30 : x
  2. Step 2: Convert to fraction form
    10,348.30/15,538.65 = 5,974.30/x
  3. Step 3: Cross multiply
    10,348.30x = 15,538.65 × 5,974.30
  4. Step 4: Simplify right side
    10,348.30x = 92,832,556.70
  5. Step 5: Solve for x
    x = 92,832,556.70/10,348.30
  6. Step 6: Final answer
    x = 8,970.80

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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.