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Finding the Fourth Proportional to 8,355.20, 12,532.80 and 5,730.80

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Solution

The fourth proportional to 8,355.20, 12,532.80 and 5,730.80 is: 8,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.20 : 12,532.80 = 5,730.80 : x
  2. Step 2: Convert to fraction form
    8,355.20/12,532.80 = 5,730.80/x
  3. Step 3: Cross multiply
    8,355.20x = 12,532.80 × 5,730.80
  4. Step 4: Simplify right side
    8,355.20x = 71,822,970.24
  5. Step 5: Solve for x
    x = 71,822,970.24/8,355.20
  6. Step 6: Final answer
    x = 8,596.20

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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.