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Finding the Fourth Proportional to 10,053.81, 13,874.13 and 5,577.44

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Solution

The fourth proportional to 10,053.81, 13,874.13 and 5,577.44 is: 7,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.81 : 13,874.13 = 5,577.44 : x
  2. Step 2: Convert to fraction form
    10,053.81/13,874.13 = 5,577.44/x
  3. Step 3: Cross multiply
    10,053.81x = 13,874.13 × 5,577.44
  4. Step 4: Simplify right side
    10,053.81x = 77,382,058.26
  5. Step 5: Solve for x
    x = 77,382,058.26/10,053.81
  6. Step 6: Final answer
    x = 7,696.79

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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.