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Finding the Fourth Proportional to 11,218.64, 16,827.32 and 3,010

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Solution

The fourth proportional to 11,218.64, 16,827.32 and 3,010 is: 4,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218.64 : 16,827.32 = 3,010 : x
  2. Step 2: Convert to fraction form
    11,218.64/16,827.32 = 3,010/x
  3. Step 3: Cross multiply
    11,218.64x = 16,827.32 × 3,010
  4. Step 4: Simplify right side
    11,218.64x = 50,650,233.20
  5. Step 5: Solve for x
    x = 50,650,233.20/11,218.64
  6. Step 6: Final answer
    x = 4,514.83

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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.