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Finding the Fourth Proportional to 10,842.71, 16,266.35 and 3,822.44

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Solution

The fourth proportional to 10,842.71, 16,266.35 and 3,822.44 is: 5,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.71 : 16,266.35 = 3,822.44 : x
  2. Step 2: Convert to fraction form
    10,842.71/16,266.35 = 3,822.44/x
  3. Step 3: Cross multiply
    10,842.71x = 16,266.35 × 3,822.44
  4. Step 4: Simplify right side
    10,842.71x = 62,177,075.12
  5. Step 5: Solve for x
    x = 62,177,075.12/10,842.71
  6. Step 6: Final answer
    x = 5,734.46

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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.