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Finding the Fourth Proportional to 10,062.75, 13,867.38 and 7,374.77

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Solution

The fourth proportional to 10,062.75, 13,867.38 and 7,374.77 is: 10,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.75 : 13,867.38 = 7,374.77 : x
  2. Step 2: Convert to fraction form
    10,062.75/13,867.38 = 7,374.77/x
  3. Step 3: Cross multiply
    10,062.75x = 13,867.38 × 7,374.77
  4. Step 4: Simplify right side
    10,062.75x = 102,268,668.67
  5. Step 5: Solve for x
    x = 102,268,668.67/10,062.75
  6. Step 6: Final answer
    x = 10,163.09

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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.