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Finding the Fourth Proportional to 6,887.74, 10,284.91 and 5,410.30

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Solution

The fourth proportional to 6,887.74, 10,284.91 and 5,410.30 is: 8,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.74 : 10,284.91 = 5,410.30 : x
  2. Step 2: Convert to fraction form
    6,887.74/10,284.91 = 5,410.30/x
  3. Step 3: Cross multiply
    6,887.74x = 10,284.91 × 5,410.30
  4. Step 4: Simplify right side
    6,887.74x = 55,644,448.57
  5. Step 5: Solve for x
    x = 55,644,448.57/6,887.74
  6. Step 6: Final answer
    x = 8,078.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.