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Finding the Fourth Proportional to 11,527.78, 15,910.41 and 9,039.46

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Solution

The fourth proportional to 11,527.78, 15,910.41 and 9,039.46 is: 12,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.78 : 15,910.41 = 9,039.46 : x
  2. Step 2: Convert to fraction form
    11,527.78/15,910.41 = 9,039.46/x
  3. Step 3: Cross multiply
    11,527.78x = 15,910.41 × 9,039.46
  4. Step 4: Simplify right side
    11,527.78x = 143,821,514.78
  5. Step 5: Solve for x
    x = 143,821,514.78/11,527.78
  6. Step 6: Final answer
    x = 12,476.08

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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.