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Finding the Fourth Proportional to 10,125.90, 13,973.07 and 6,348.92

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Solution

The fourth proportional to 10,125.90, 13,973.07 and 6,348.92 is: 8,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.90 : 13,973.07 = 6,348.92 : x
  2. Step 2: Convert to fraction form
    10,125.90/13,973.07 = 6,348.92/x
  3. Step 3: Cross multiply
    10,125.90x = 13,973.07 × 6,348.92
  4. Step 4: Simplify right side
    10,125.90x = 88,713,903.58
  5. Step 5: Solve for x
    x = 88,713,903.58/10,125.90
  6. Step 6: Final answer
    x = 8,761.09

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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.