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Finding the Fourth Proportional to 8,996.25, 13,498.28 and 4,831.40

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Solution

The fourth proportional to 8,996.25, 13,498.28 and 4,831.40 is: 7,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.25 : 13,498.28 = 4,831.40 : x
  2. Step 2: Convert to fraction form
    8,996.25/13,498.28 = 4,831.40/x
  3. Step 3: Cross multiply
    8,996.25x = 13,498.28 × 4,831.40
  4. Step 4: Simplify right side
    8,996.25x = 65,215,617.70
  5. Step 5: Solve for x
    x = 65,215,617.70/8,996.25
  6. Step 6: Final answer
    x = 7,249.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.