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Finding the Fourth Proportional to 12,375.84, 17,080.02 and 7,071.18

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Solution

The fourth proportional to 12,375.84, 17,080.02 and 7,071.18 is: 9,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.84 : 17,080.02 = 7,071.18 : x
  2. Step 2: Convert to fraction form
    12,375.84/17,080.02 = 7,071.18/x
  3. Step 3: Cross multiply
    12,375.84x = 17,080.02 × 7,071.18
  4. Step 4: Simplify right side
    12,375.84x = 120,775,895.82
  5. Step 5: Solve for x
    x = 120,775,895.82/12,375.84
  6. Step 6: Final answer
    x = 9,759.01

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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.