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Finding the Fourth Proportional to 12,376.51, 17,080.49 and 7,071.22

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Solution

The fourth proportional to 12,376.51, 17,080.49 and 7,071.22 is: 9,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.51 : 17,080.49 = 7,071.22 : x
  2. Step 2: Convert to fraction form
    12,376.51/17,080.49 = 7,071.22/x
  3. Step 3: Cross multiply
    12,376.51x = 17,080.49 × 7,071.22
  4. Step 4: Simplify right side
    12,376.51x = 120,779,834.77
  5. Step 5: Solve for x
    x = 120,779,834.77/12,376.51
  6. Step 6: Final answer
    x = 9,758.79

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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.