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Finding the Fourth Proportional to 8,340.24, 12,510.36 and 3,659.16

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Solution

The fourth proportional to 8,340.24, 12,510.36 and 3,659.16 is: 5,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.24 : 12,510.36 = 3,659.16 : x
  2. Step 2: Convert to fraction form
    8,340.24/12,510.36 = 3,659.16/x
  3. Step 3: Cross multiply
    8,340.24x = 12,510.36 × 3,659.16
  4. Step 4: Simplify right side
    8,340.24x = 45,777,408.90
  5. Step 5: Solve for x
    x = 45,777,408.90/8,340.24
  6. Step 6: Final answer
    x = 5,488.74

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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.