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Finding the Fourth Proportional to 10,227.60, 15,316.74 and 5,831.73

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Solution

The fourth proportional to 10,227.60, 15,316.74 and 5,831.73 is: 8,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.60 : 15,316.74 = 5,831.73 : x
  2. Step 2: Convert to fraction form
    10,227.60/15,316.74 = 5,831.73/x
  3. Step 3: Cross multiply
    10,227.60x = 15,316.74 × 5,831.73
  4. Step 4: Simplify right side
    10,227.60x = 89,323,092.16
  5. Step 5: Solve for x
    x = 89,323,092.16/10,227.60
  6. Step 6: Final answer
    x = 8,733.53

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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.