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Finding the Fourth Proportional to 8,148.27, 12,223.35 and 2,599.68

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Solution

The fourth proportional to 8,148.27, 12,223.35 and 2,599.68 is: 3,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.27 : 12,223.35 = 2,599.68 : x
  2. Step 2: Convert to fraction form
    8,148.27/12,223.35 = 2,599.68/x
  3. Step 3: Cross multiply
    8,148.27x = 12,223.35 × 2,599.68
  4. Step 4: Simplify right side
    8,148.27x = 31,776,798.53
  5. Step 5: Solve for x
    x = 31,776,798.53/8,148.27
  6. Step 6: Final answer
    x = 3,899.82

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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.