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Finding the Fourth Proportional to 10,536.80, 15,805.19 and 2,745

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Solution

The fourth proportional to 10,536.80, 15,805.19 and 2,745 is: 4,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.80 : 15,805.19 = 2,745 : x
  2. Step 2: Convert to fraction form
    10,536.80/15,805.19 = 2,745/x
  3. Step 3: Cross multiply
    10,536.80x = 15,805.19 × 2,745
  4. Step 4: Simplify right side
    10,536.80x = 43,385,253.41
  5. Step 5: Solve for x
    x = 43,385,253.41/10,536.80
  6. Step 6: Final answer
    x = 4,117.50

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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.