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Finding the Fourth Proportional to 8,273.60, 12,424.80 and 8,014.40

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Solution

The fourth proportional to 8,273.60, 12,424.80 and 8,014.40 is: 12,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.60 : 12,424.80 = 8,014.40 : x
  2. Step 2: Convert to fraction form
    8,273.60/12,424.80 = 8,014.40/x
  3. Step 3: Cross multiply
    8,273.60x = 12,424.80 × 8,014.40
  4. Step 4: Simplify right side
    8,273.60x = 99,577,317.12
  5. Step 5: Solve for x
    x = 99,577,317.12/8,273.60
  6. Step 6: Final answer
    x = 12,035.55

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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.