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Finding the Fourth Proportional to 8,429.67, 12,640.43 and 4,920.71

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Solution

The fourth proportional to 8,429.67, 12,640.43 and 4,920.71 is: 7,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.67 : 12,640.43 = 4,920.71 : x
  2. Step 2: Convert to fraction form
    8,429.67/12,640.43 = 4,920.71/x
  3. Step 3: Cross multiply
    8,429.67x = 12,640.43 × 4,920.71
  4. Step 4: Simplify right side
    8,429.67x = 62,199,802.50
  5. Step 5: Solve for x
    x = 62,199,802.50/8,429.67
  6. Step 6: Final answer
    x = 7,378.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.