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Finding the Fourth Proportional to 11,514.80, 17,280.96 and 7,808.24

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Solution

The fourth proportional to 11,514.80, 17,280.96 and 7,808.24 is: 11,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.80 : 17,280.96 = 7,808.24 : x
  2. Step 2: Convert to fraction form
    11,514.80/17,280.96 = 7,808.24/x
  3. Step 3: Cross multiply
    11,514.80x = 17,280.96 × 7,808.24
  4. Step 4: Simplify right side
    11,514.80x = 134,933,883.11
  5. Step 5: Solve for x
    x = 134,933,883.11/11,514.80
  6. Step 6: Final answer
    x = 11,718.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.