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Finding the Fourth Proportional to 10,020.54, 13,830.04 and 5,831.22

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Solution

The fourth proportional to 10,020.54, 13,830.04 and 5,831.22 is: 8,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.54 : 13,830.04 = 5,831.22 : x
  2. Step 2: Convert to fraction form
    10,020.54/13,830.04 = 5,831.22/x
  3. Step 3: Cross multiply
    10,020.54x = 13,830.04 × 5,831.22
  4. Step 4: Simplify right side
    10,020.54x = 80,646,005.85
  5. Step 5: Solve for x
    x = 80,646,005.85/10,020.54
  6. Step 6: Final answer
    x = 8,048.07

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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.