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Finding the Fourth Proportional to 11,517.89, 15,894.27 and 7,041.83

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Solution

The fourth proportional to 11,517.89, 15,894.27 and 7,041.83 is: 9,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.89 : 15,894.27 = 7,041.83 : x
  2. Step 2: Convert to fraction form
    11,517.89/15,894.27 = 7,041.83/x
  3. Step 3: Cross multiply
    11,517.89x = 15,894.27 × 7,041.83
  4. Step 4: Simplify right side
    11,517.89x = 111,924,667.84
  5. Step 5: Solve for x
    x = 111,924,667.84/11,517.89
  6. Step 6: Final answer
    x = 9,717.47

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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.