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Finding the Fourth Proportional to 8,277.57, 11,423.09 and 4,919.72

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Solution

The fourth proportional to 8,277.57, 11,423.09 and 4,919.72 is: 6,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.57 : 11,423.09 = 4,919.72 : x
  2. Step 2: Convert to fraction form
    8,277.57/11,423.09 = 4,919.72/x
  3. Step 3: Cross multiply
    8,277.57x = 11,423.09 × 4,919.72
  4. Step 4: Simplify right side
    8,277.57x = 56,198,451.21
  5. Step 5: Solve for x
    x = 56,198,451.21/8,277.57
  6. Step 6: Final answer
    x = 6,789.25

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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.