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Finding the Fourth Proportional to 10,948.60, 16,422.90 and 8,039.80

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Solution

The fourth proportional to 10,948.60, 16,422.90 and 8,039.80 is: 12,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.60 : 16,422.90 = 8,039.80 : x
  2. Step 2: Convert to fraction form
    10,948.60/16,422.90 = 8,039.80/x
  3. Step 3: Cross multiply
    10,948.60x = 16,422.90 × 8,039.80
  4. Step 4: Simplify right side
    10,948.60x = 132,036,831.42
  5. Step 5: Solve for x
    x = 132,036,831.42/10,948.60
  6. Step 6: Final answer
    x = 12,059.70

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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.