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Finding the Fourth Proportional to 10,227.74, 15,317.00 and 5,831.87

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Solution

The fourth proportional to 10,227.74, 15,317.00 and 5,831.87 is: 8,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.74 : 15,317.00 = 5,831.87 : x
  2. Step 2: Convert to fraction form
    10,227.74/15,317.00 = 5,831.87/x
  3. Step 3: Cross multiply
    10,227.74x = 15,317.00 × 5,831.87
  4. Step 4: Simplify right side
    10,227.74x = 89,326,647.05
  5. Step 5: Solve for x
    x = 89,326,647.05/10,227.74
  6. Step 6: Final answer
    x = 8,733.77

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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.