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Finding the Fourth Proportional to 10,077.76, 15,103.88 and 5,697.70

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Solution

The fourth proportional to 10,077.76, 15,103.88 and 5,697.70 is: 8,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.76 : 15,103.88 = 5,697.70 : x
  2. Step 2: Convert to fraction form
    10,077.76/15,103.88 = 5,697.70/x
  3. Step 3: Cross multiply
    10,077.76x = 15,103.88 × 5,697.70
  4. Step 4: Simplify right side
    10,077.76x = 86,057,377.08
  5. Step 5: Solve for x
    x = 86,057,377.08/10,077.76
  6. Step 6: Final answer
    x = 8,539.34

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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.