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Finding the Fourth Proportional to 12,749.97, 17,595.74 and 7,084.76

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Solution

The fourth proportional to 12,749.97, 17,595.74 and 7,084.76 is: 9,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.97 : 17,595.74 = 7,084.76 : x
  2. Step 2: Convert to fraction form
    12,749.97/17,595.74 = 7,084.76/x
  3. Step 3: Cross multiply
    12,749.97x = 17,595.74 × 7,084.76
  4. Step 4: Simplify right side
    12,749.97x = 124,661,471.52
  5. Step 5: Solve for x
    x = 124,661,471.52/12,749.97
  6. Step 6: Final answer
    x = 9,777.39

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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.