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Finding the Fourth Proportional to 12,587.06, 17,365.82 and 7,805.28

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Solution

The fourth proportional to 12,587.06, 17,365.82 and 7,805.28 is: 10,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.06 : 17,365.82 = 7,805.28 : x
  2. Step 2: Convert to fraction form
    12,587.06/17,365.82 = 7,805.28/x
  3. Step 3: Cross multiply
    12,587.06x = 17,365.82 × 7,805.28
  4. Step 4: Simplify right side
    12,587.06x = 135,545,087.53
  5. Step 5: Solve for x
    x = 135,545,087.53/12,587.06
  6. Step 6: Final answer
    x = 10,768.61

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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.