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Finding the Fourth Proportional to 8,358.31, 12,544.39 and 4,199.51

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Solution

The fourth proportional to 8,358.31, 12,544.39 and 4,199.51 is: 6,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.31 : 12,544.39 = 4,199.51 : x
  2. Step 2: Convert to fraction form
    8,358.31/12,544.39 = 4,199.51/x
  3. Step 3: Cross multiply
    8,358.31x = 12,544.39 × 4,199.51
  4. Step 4: Simplify right side
    8,358.31x = 52,680,291.25
  5. Step 5: Solve for x
    x = 52,680,291.25/8,358.31
  6. Step 6: Final answer
    x = 6,302.74

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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.