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Finding the Fourth Proportional to 12,376.74, 17,079.93 and 7,071.54

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Solution

The fourth proportional to 12,376.74, 17,079.93 and 7,071.54 is: 9,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.74 : 17,079.93 = 7,071.54 : x
  2. Step 2: Convert to fraction form
    12,376.74/17,079.93 = 7,071.54/x
  3. Step 3: Cross multiply
    12,376.74x = 17,079.93 × 7,071.54
  4. Step 4: Simplify right side
    12,376.74x = 120,781,408.19
  5. Step 5: Solve for x
    x = 120,781,408.19/12,376.74
  6. Step 6: Final answer
    x = 9,758.74

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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.