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Finding the Fourth Proportional to 7,753.59, 11,631.78 and 2,830.14

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Solution

The fourth proportional to 7,753.59, 11,631.78 and 2,830.14 is: 4,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.59 : 11,631.78 = 2,830.14 : x
  2. Step 2: Convert to fraction form
    7,753.59/11,631.78 = 2,830.14/x
  3. Step 3: Cross multiply
    7,753.59x = 11,631.78 × 2,830.14
  4. Step 4: Simplify right side
    7,753.59x = 32,919,565.85
  5. Step 5: Solve for x
    x = 32,919,565.85/7,753.59
  6. Step 6: Final answer
    x = 4,245.72

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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.