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Finding the Fourth Proportional to 6,681.25, 10,029.97 and 3,126.77

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Solution

The fourth proportional to 6,681.25, 10,029.97 and 3,126.77 is: 4,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.25 : 10,029.97 = 3,126.77 : x
  2. Step 2: Convert to fraction form
    6,681.25/10,029.97 = 3,126.77/x
  3. Step 3: Cross multiply
    6,681.25x = 10,029.97 × 3,126.77
  4. Step 4: Simplify right side
    6,681.25x = 31,361,359.15
  5. Step 5: Solve for x
    x = 31,361,359.15/6,681.25
  6. Step 6: Final answer
    x = 4,693.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.