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Finding the Fourth Proportional to 8,331.68, 11,500 and 5,186

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Solution

The fourth proportional to 8,331.68, 11,500 and 5,186 is: 7,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.68 : 11,500 = 5,186 : x
  2. Step 2: Convert to fraction form
    8,331.68/11,500 = 5,186/x
  3. Step 3: Cross multiply
    8,331.68x = 11,500 × 5,186
  4. Step 4: Simplify right side
    8,331.68x = 59,639,000
  5. Step 5: Solve for x
    x = 59,639,000/8,331.68
  6. Step 6: Final answer
    x = 7,158.10

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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.