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Finding the Fourth Proportional to 10,831.25, 16,244.82 and 5,279.01

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Solution

The fourth proportional to 10,831.25, 16,244.82 and 5,279.01 is: 7,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.25 : 16,244.82 = 5,279.01 : x
  2. Step 2: Convert to fraction form
    10,831.25/16,244.82 = 5,279.01/x
  3. Step 3: Cross multiply
    10,831.25x = 16,244.82 × 5,279.01
  4. Step 4: Simplify right side
    10,831.25x = 85,756,567.23
  5. Step 5: Solve for x
    x = 85,756,567.23/10,831.25
  6. Step 6: Final answer
    x = 7,917.52

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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.