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Finding the Fourth Proportional to 8,524.84, 11,760.90 and 5,214.76

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Solution

The fourth proportional to 8,524.84, 11,760.90 and 5,214.76 is: 7,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.84 : 11,760.90 = 5,214.76 : x
  2. Step 2: Convert to fraction form
    8,524.84/11,760.90 = 5,214.76/x
  3. Step 3: Cross multiply
    8,524.84x = 11,760.90 × 5,214.76
  4. Step 4: Simplify right side
    8,524.84x = 61,330,270.88
  5. Step 5: Solve for x
    x = 61,330,270.88/8,524.84
  6. Step 6: Final answer
    x = 7,194.30

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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.