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Finding the Fourth Proportional to 8,281.32, 12,423.78 and 4,123.59

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Solution

The fourth proportional to 8,281.32, 12,423.78 and 4,123.59 is: 6,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.32 : 12,423.78 = 4,123.59 : x
  2. Step 2: Convert to fraction form
    8,281.32/12,423.78 = 4,123.59/x
  3. Step 3: Cross multiply
    8,281.32x = 12,423.78 × 4,123.59
  4. Step 4: Simplify right side
    8,281.32x = 51,230,574.97
  5. Step 5: Solve for x
    x = 51,230,574.97/8,281.32
  6. Step 6: Final answer
    x = 6,186.28

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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.