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Finding the Fourth Proportional to 10,024.68, 13,831.92 and 5,830.68

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Solution

The fourth proportional to 10,024.68, 13,831.92 and 5,830.68 is: 8,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.68 : 13,831.92 = 5,830.68 : x
  2. Step 2: Convert to fraction form
    10,024.68/13,831.92 = 5,830.68/x
  3. Step 3: Cross multiply
    10,024.68x = 13,831.92 × 5,830.68
  4. Step 4: Simplify right side
    10,024.68x = 80,649,499.31
  5. Step 5: Solve for x
    x = 80,649,499.31/10,024.68
  6. Step 6: Final answer
    x = 8,045.09

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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.