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Finding the Fourth Proportional to 10,053.88, 13,874.34 and 5,578.34

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Solution

The fourth proportional to 10,053.88, 13,874.34 and 5,578.34 is: 7,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.88 : 13,874.34 = 5,578.34 : x
  2. Step 2: Convert to fraction form
    10,053.88/13,874.34 = 5,578.34/x
  3. Step 3: Cross multiply
    10,053.88x = 13,874.34 × 5,578.34
  4. Step 4: Simplify right side
    10,053.88x = 77,395,785.80
  5. Step 5: Solve for x
    x = 77,395,785.80/10,053.88
  6. Step 6: Final answer
    x = 7,698.10

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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.