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Finding the Fourth Proportional to 7,011.92, 10,499.16 and 6,181.52

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Solution

The fourth proportional to 7,011.92, 10,499.16 and 6,181.52 is: 9,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.92 : 10,499.16 = 6,181.52 : x
  2. Step 2: Convert to fraction form
    7,011.92/10,499.16 = 6,181.52/x
  3. Step 3: Cross multiply
    7,011.92x = 10,499.16 × 6,181.52
  4. Step 4: Simplify right side
    7,011.92x = 64,900,767.52
  5. Step 5: Solve for x
    x = 64,900,767.52/7,011.92
  6. Step 6: Final answer
    x = 9,255.78

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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.