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Finding the Fourth Proportional to 10,055.22, 13,875.84 and 5,578.80

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Solution

The fourth proportional to 10,055.22, 13,875.84 and 5,578.80 is: 7,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.22 : 13,875.84 = 5,578.80 : x
  2. Step 2: Convert to fraction form
    10,055.22/13,875.84 = 5,578.80/x
  3. Step 3: Cross multiply
    10,055.22x = 13,875.84 × 5,578.80
  4. Step 4: Simplify right side
    10,055.22x = 77,410,536.19
  5. Step 5: Solve for x
    x = 77,410,536.19/10,055.22
  6. Step 6: Final answer
    x = 7,698.54

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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.