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Finding the Fourth Proportional to 8,981.76, 13,472.48 and 2,825.76

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Solution

The fourth proportional to 8,981.76, 13,472.48 and 2,825.76 is: 4,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.76 : 13,472.48 = 2,825.76 : x
  2. Step 2: Convert to fraction form
    8,981.76/13,472.48 = 2,825.76/x
  3. Step 3: Cross multiply
    8,981.76x = 13,472.48 × 2,825.76
  4. Step 4: Simplify right side
    8,981.76x = 38,069,913.59
  5. Step 5: Solve for x
    x = 38,069,913.59/8,981.76
  6. Step 6: Final answer
    x = 4,238.58

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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.