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Finding the Fourth Proportional to 10,001.77, 13,805.75 and 6,276.97

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Solution

The fourth proportional to 10,001.77, 13,805.75 and 6,276.97 is: 8,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.77 : 13,805.75 = 6,276.97 : x
  2. Step 2: Convert to fraction form
    10,001.77/13,805.75 = 6,276.97/x
  3. Step 3: Cross multiply
    10,001.77x = 13,805.75 × 6,276.97
  4. Step 4: Simplify right side
    10,001.77x = 86,658,278.58
  5. Step 5: Solve for x
    x = 86,658,278.58/10,001.77
  6. Step 6: Final answer
    x = 8,664.29

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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.