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Finding the Fourth Proportional to 8,087.68, 11,158.08 and 5,733.76

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Solution

The fourth proportional to 8,087.68, 11,158.08 and 5,733.76 is: 7,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.68 : 11,158.08 = 5,733.76 : x
  2. Step 2: Convert to fraction form
    8,087.68/11,158.08 = 5,733.76/x
  3. Step 3: Cross multiply
    8,087.68x = 11,158.08 × 5,733.76
  4. Step 4: Simplify right side
    8,087.68x = 63,977,752.78
  5. Step 5: Solve for x
    x = 63,977,752.78/8,087.68
  6. Step 6: Final answer
    x = 7,910.52

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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.