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Finding the Fourth Proportional to 10,537.76, 15,793.68 and 5,340.80

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Solution

The fourth proportional to 10,537.76, 15,793.68 and 5,340.80 is: 8,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.76 : 15,793.68 = 5,340.80 : x
  2. Step 2: Convert to fraction form
    10,537.76/15,793.68 = 5,340.80/x
  3. Step 3: Cross multiply
    10,537.76x = 15,793.68 × 5,340.80
  4. Step 4: Simplify right side
    10,537.76x = 84,350,886.14
  5. Step 5: Solve for x
    x = 84,350,886.14/10,537.76
  6. Step 6: Final answer
    x = 8,004.63

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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.