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Finding the Fourth Proportional to 8,429.39, 12,641.79 and 2,506.26

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Solution

The fourth proportional to 8,429.39, 12,641.79 and 2,506.26 is: 3,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.39 : 12,641.79 = 2,506.26 : x
  2. Step 2: Convert to fraction form
    8,429.39/12,641.79 = 2,506.26/x
  3. Step 3: Cross multiply
    8,429.39x = 12,641.79 × 2,506.26
  4. Step 4: Simplify right side
    8,429.39x = 31,683,612.61
  5. Step 5: Solve for x
    x = 31,683,612.61/8,429.39
  6. Step 6: Final answer
    x = 3,758.71

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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.