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Finding the Fourth Proportional to 12,590.97, 17,376.89 and 7,876.77

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Solution

The fourth proportional to 12,590.97, 17,376.89 and 7,876.77 is: 10,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.97 : 17,376.89 = 7,876.77 : x
  2. Step 2: Convert to fraction form
    12,590.97/17,376.89 = 7,876.77/x
  3. Step 3: Cross multiply
    12,590.97x = 17,376.89 × 7,876.77
  4. Step 4: Simplify right side
    12,590.97x = 136,873,765.85
  5. Step 5: Solve for x
    x = 136,873,765.85/12,590.97
  6. Step 6: Final answer
    x = 10,870.79

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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.