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Finding the Fourth Proportional to 8,217.50, 12,328.84 and 2,948.90

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Solution

The fourth proportional to 8,217.50, 12,328.84 and 2,948.90 is: 4,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.50 : 12,328.84 = 2,948.90 : x
  2. Step 2: Convert to fraction form
    8,217.50/12,328.84 = 2,948.90/x
  3. Step 3: Cross multiply
    8,217.50x = 12,328.84 × 2,948.90
  4. Step 4: Simplify right side
    8,217.50x = 36,356,458.32
  5. Step 5: Solve for x
    x = 36,356,458.32/8,217.50
  6. Step 6: Final answer
    x = 4,424.28

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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.