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Finding the Fourth Proportional to 10,019.31, 13,831.10 and 5,987.57

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Solution

The fourth proportional to 10,019.31, 13,831.10 and 5,987.57 is: 8,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.31 : 13,831.10 = 5,987.57 : x
  2. Step 2: Convert to fraction form
    10,019.31/13,831.10 = 5,987.57/x
  3. Step 3: Cross multiply
    10,019.31x = 13,831.10 × 5,987.57
  4. Step 4: Simplify right side
    10,019.31x = 82,814,580.33
  5. Step 5: Solve for x
    x = 82,814,580.33/10,019.31
  6. Step 6: Final answer
    x = 8,265.50

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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.