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Finding the Fourth Proportional to 8,142.40, 12,215.46 and 2,948.28

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Solution

The fourth proportional to 8,142.40, 12,215.46 and 2,948.28 is: 4,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.40 : 12,215.46 = 2,948.28 : x
  2. Step 2: Convert to fraction form
    8,142.40/12,215.46 = 2,948.28/x
  3. Step 3: Cross multiply
    8,142.40x = 12,215.46 × 2,948.28
  4. Step 4: Simplify right side
    8,142.40x = 36,014,596.41
  5. Step 5: Solve for x
    x = 36,014,596.41/8,142.40
  6. Step 6: Final answer
    x = 4,423.09

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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.