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Finding the Fourth Proportional to 7,873.60, 11,803.20 and 3,491.92

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Solution

The fourth proportional to 7,873.60, 11,803.20 and 3,491.92 is: 5,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.60 : 11,803.20 = 3,491.92 : x
  2. Step 2: Convert to fraction form
    7,873.60/11,803.20 = 3,491.92/x
  3. Step 3: Cross multiply
    7,873.60x = 11,803.20 × 3,491.92
  4. Step 4: Simplify right side
    7,873.60x = 41,215,830.14
  5. Step 5: Solve for x
    x = 41,215,830.14/7,873.60
  6. Step 6: Final answer
    x = 5,234.69

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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.