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Finding the Fourth Proportional to 8,055.24, 11,107.80 and 7,874.16

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Solution

The fourth proportional to 8,055.24, 11,107.80 and 7,874.16 is: 10,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.24 : 11,107.80 = 7,874.16 : x
  2. Step 2: Convert to fraction form
    8,055.24/11,107.80 = 7,874.16/x
  3. Step 3: Cross multiply
    8,055.24x = 11,107.80 × 7,874.16
  4. Step 4: Simplify right side
    8,055.24x = 87,464,594.45
  5. Step 5: Solve for x
    x = 87,464,594.45/8,055.24
  6. Step 6: Final answer
    x = 10,858.10

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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.