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Finding the Fourth Proportional to 8,024.32, 12,037.44 and 3,405.76

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Solution

The fourth proportional to 8,024.32, 12,037.44 and 3,405.76 is: 5,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.32 : 12,037.44 = 3,405.76 : x
  2. Step 2: Convert to fraction form
    8,024.32/12,037.44 = 3,405.76/x
  3. Step 3: Cross multiply
    8,024.32x = 12,037.44 × 3,405.76
  4. Step 4: Simplify right side
    8,024.32x = 40,996,631.65
  5. Step 5: Solve for x
    x = 40,996,631.65/8,024.32
  6. Step 6: Final answer
    x = 5,109.05

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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.