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Finding the Fourth Proportional to 8,152.42, 12,223.71 and 4,449.51

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Solution

The fourth proportional to 8,152.42, 12,223.71 and 4,449.51 is: 6,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.42 : 12,223.71 = 4,449.51 : x
  2. Step 2: Convert to fraction form
    8,152.42/12,223.71 = 4,449.51/x
  3. Step 3: Cross multiply
    8,152.42x = 12,223.71 × 4,449.51
  4. Step 4: Simplify right side
    8,152.42x = 54,389,519.88
  5. Step 5: Solve for x
    x = 54,389,519.88/8,152.42
  6. Step 6: Final answer
    x = 6,671.58

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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.