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Finding the Fourth Proportional to 10,053.71, 13,874.54 and 5,578.32

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Solution

The fourth proportional to 10,053.71, 13,874.54 and 5,578.32 is: 7,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.71 : 13,874.54 = 5,578.32 : x
  2. Step 2: Convert to fraction form
    10,053.71/13,874.54 = 5,578.32/x
  3. Step 3: Cross multiply
    10,053.71x = 13,874.54 × 5,578.32
  4. Step 4: Simplify right side
    10,053.71x = 77,396,701.44
  5. Step 5: Solve for x
    x = 77,396,701.44/10,053.71
  6. Step 6: Final answer
    x = 7,698.32

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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.