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Finding the Fourth Proportional to 8,030.32, 12,046.44 and 3,411.76

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Solution

The fourth proportional to 8,030.32, 12,046.44 and 3,411.76 is: 5,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.32 : 12,046.44 = 3,411.76 : x
  2. Step 2: Convert to fraction form
    8,030.32/12,046.44 = 3,411.76/x
  3. Step 3: Cross multiply
    8,030.32x = 12,046.44 × 3,411.76
  4. Step 4: Simplify right side
    8,030.32x = 41,099,562.13
  5. Step 5: Solve for x
    x = 41,099,562.13/8,030.32
  6. Step 6: Final answer
    x = 5,118.05

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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.