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Finding the Fourth Proportional to 10,218.87, 14,103.71 and 8,514.68

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Solution

The fourth proportional to 10,218.87, 14,103.71 and 8,514.68 is: 11,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.87 : 14,103.71 = 8,514.68 : x
  2. Step 2: Convert to fraction form
    10,218.87/14,103.71 = 8,514.68/x
  3. Step 3: Cross multiply
    10,218.87x = 14,103.71 × 8,514.68
  4. Step 4: Simplify right side
    10,218.87x = 120,088,464.37
  5. Step 5: Solve for x
    x = 120,088,464.37/10,218.87
  6. Step 6: Final answer
    x = 11,751.64

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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.