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Finding the Fourth Proportional to 10,069.92, 15,091.68 and 5,140.80

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Solution

The fourth proportional to 10,069.92, 15,091.68 and 5,140.80 is: 7,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.92 : 15,091.68 = 5,140.80 : x
  2. Step 2: Convert to fraction form
    10,069.92/15,091.68 = 5,140.80/x
  3. Step 3: Cross multiply
    10,069.92x = 15,091.68 × 5,140.80
  4. Step 4: Simplify right side
    10,069.92x = 77,583,308.54
  5. Step 5: Solve for x
    x = 77,583,308.54/10,069.92
  6. Step 6: Final answer
    x = 7,704.46

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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.