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Finding the Fourth Proportional to 12,708.06, 17,537.18 and 7,043.74

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Solution

The fourth proportional to 12,708.06, 17,537.18 and 7,043.74 is: 9,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.06 : 17,537.18 = 7,043.74 : x
  2. Step 2: Convert to fraction form
    12,708.06/17,537.18 = 7,043.74/x
  3. Step 3: Cross multiply
    12,708.06x = 17,537.18 × 7,043.74
  4. Step 4: Simplify right side
    12,708.06x = 123,527,336.25
  5. Step 5: Solve for x
    x = 123,527,336.25/12,708.06
  6. Step 6: Final answer
    x = 9,720.39

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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.