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Finding the Fourth Proportional to 10,023.30, 13,831.92 and 5,831.46

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Solution

The fourth proportional to 10,023.30, 13,831.92 and 5,831.46 is: 8,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.30 : 13,831.92 = 5,831.46 : x
  2. Step 2: Convert to fraction form
    10,023.30/13,831.92 = 5,831.46/x
  3. Step 3: Cross multiply
    10,023.30x = 13,831.92 × 5,831.46
  4. Step 4: Simplify right side
    10,023.30x = 80,660,288.20
  5. Step 5: Solve for x
    x = 80,660,288.20/10,023.30
  6. Step 6: Final answer
    x = 8,047.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.