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Finding the Fourth Proportional to 10,266.68, 14,162.38 and 6,074.12

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Solution

The fourth proportional to 10,266.68, 14,162.38 and 6,074.12 is: 8,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.68 : 14,162.38 = 6,074.12 : x
  2. Step 2: Convert to fraction form
    10,266.68/14,162.38 = 6,074.12/x
  3. Step 3: Cross multiply
    10,266.68x = 14,162.38 × 6,074.12
  4. Step 4: Simplify right side
    10,266.68x = 86,023,995.61
  5. Step 5: Solve for x
    x = 86,023,995.61/10,266.68
  6. Step 6: Final answer
    x = 8,378.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.