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Finding the Fourth Proportional to 12,770.06, 17,625.49 and 7,106.75

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Solution

The fourth proportional to 12,770.06, 17,625.49 and 7,106.75 is: 9,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.06 : 17,625.49 = 7,106.75 : x
  2. Step 2: Convert to fraction form
    12,770.06/17,625.49 = 7,106.75/x
  3. Step 3: Cross multiply
    12,770.06x = 17,625.49 × 7,106.75
  4. Step 4: Simplify right side
    12,770.06x = 125,259,845.16
  5. Step 5: Solve for x
    x = 125,259,845.16/12,770.06
  6. Step 6: Final answer
    x = 9,808.87

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