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Finding the Fourth Proportional to 8,297.20, 12,429.10 and 4,124.58

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Solution

The fourth proportional to 8,297.20, 12,429.10 and 4,124.58 is: 6,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.20 : 12,429.10 = 4,124.58 : x
  2. Step 2: Convert to fraction form
    8,297.20/12,429.10 = 4,124.58/x
  3. Step 3: Cross multiply
    8,297.20x = 12,429.10 × 4,124.58
  4. Step 4: Simplify right side
    8,297.20x = 51,264,817.28
  5. Step 5: Solve for x
    x = 51,264,817.28/8,297.20
  6. Step 6: Final answer
    x = 6,178.57

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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.