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Finding the Fourth Proportional to 8,275.68, 12,415.12 and 3,898.08

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Solution

The fourth proportional to 8,275.68, 12,415.12 and 3,898.08 is: 5,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.68 : 12,415.12 = 3,898.08 : x
  2. Step 2: Convert to fraction form
    8,275.68/12,415.12 = 3,898.08/x
  3. Step 3: Cross multiply
    8,275.68x = 12,415.12 × 3,898.08
  4. Step 4: Simplify right side
    8,275.68x = 48,395,130.97
  5. Step 5: Solve for x
    x = 48,395,130.97/8,275.68
  6. Step 6: Final answer
    x = 5,847.87

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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.