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Finding the Fourth Proportional to 12,374.78, 17,078.65 and 7,071.30

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Solution

The fourth proportional to 12,374.78, 17,078.65 and 7,071.30 is: 9,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.78 : 17,078.65 = 7,071.30 : x
  2. Step 2: Convert to fraction form
    12,374.78/17,078.65 = 7,071.30/x
  3. Step 3: Cross multiply
    12,374.78x = 17,078.65 × 7,071.30
  4. Step 4: Simplify right side
    12,374.78x = 120,768,240.07
  5. Step 5: Solve for x
    x = 120,768,240.07/12,374.78
  6. Step 6: Final answer
    x = 9,759.23

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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.