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Finding the Fourth Proportional to 8,281.58, 12,423.87 and 5,322.96

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Solution

The fourth proportional to 8,281.58, 12,423.87 and 5,322.96 is: 7,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.58 : 12,423.87 = 5,322.96 : x
  2. Step 2: Convert to fraction form
    8,281.58/12,423.87 = 5,322.96/x
  3. Step 3: Cross multiply
    8,281.58x = 12,423.87 × 5,322.96
  4. Step 4: Simplify right side
    8,281.58x = 66,131,763.06
  5. Step 5: Solve for x
    x = 66,131,763.06/8,281.58
  6. Step 6: Final answer
    x = 7,985.41

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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.