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Finding the Fourth Proportional to 8,756.64, 13,135.20 and 2,833.78

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Solution

The fourth proportional to 8,756.64, 13,135.20 and 2,833.78 is: 4,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,756.64 : 13,135.20 = 2,833.78 : x
  2. Step 2: Convert to fraction form
    8,756.64/13,135.20 = 2,833.78/x
  3. Step 3: Cross multiply
    8,756.64x = 13,135.20 × 2,833.78
  4. Step 4: Simplify right side
    8,756.64x = 37,222,267.06
  5. Step 5: Solve for x
    x = 37,222,267.06/8,756.64
  6. Step 6: Final answer
    x = 4,250.75

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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.