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Finding the Fourth Proportional to 12,377.07, 17,080.14 and 7,071.03

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Solution

The fourth proportional to 12,377.07, 17,080.14 and 7,071.03 is: 9,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.07 : 17,080.14 = 7,071.03 : x
  2. Step 2: Convert to fraction form
    12,377.07/17,080.14 = 7,071.03/x
  3. Step 3: Cross multiply
    12,377.07x = 17,080.14 × 7,071.03
  4. Step 4: Simplify right side
    12,377.07x = 120,774,182.34
  5. Step 5: Solve for x
    x = 120,774,182.34/12,377.07
  6. Step 6: Final answer
    x = 9,757.90

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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.