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Finding the Fourth Proportional to 8,290.40, 12,425.76 and 4,392.80

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Solution

The fourth proportional to 8,290.40, 12,425.76 and 4,392.80 is: 6,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.40 : 12,425.76 = 4,392.80 : x
  2. Step 2: Convert to fraction form
    8,290.40/12,425.76 = 4,392.80/x
  3. Step 3: Cross multiply
    8,290.40x = 12,425.76 × 4,392.80
  4. Step 4: Simplify right side
    8,290.40x = 54,583,878.53
  5. Step 5: Solve for x
    x = 54,583,878.53/8,290.40
  6. Step 6: Final answer
    x = 6,583.99

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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.