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Finding the Fourth Proportional to 10,273.60, 15,424.80 and 8,084.80

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Solution

The fourth proportional to 10,273.60, 15,424.80 and 8,084.80 is: 12,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.60 : 15,424.80 = 8,084.80 : x
  2. Step 2: Convert to fraction form
    10,273.60/15,424.80 = 8,084.80/x
  3. Step 3: Cross multiply
    10,273.60x = 15,424.80 × 8,084.80
  4. Step 4: Simplify right side
    10,273.60x = 124,706,423.04
  5. Step 5: Solve for x
    x = 124,706,423.04/10,273.60
  6. Step 6: Final answer
    x = 12,138.53

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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.