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Finding the Fourth Proportional to 8,034.30, 11,087.43 and 4,847.76

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Solution

The fourth proportional to 8,034.30, 11,087.43 and 4,847.76 is: 6,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.30 : 11,087.43 = 4,847.76 : x
  2. Step 2: Convert to fraction form
    8,034.30/11,087.43 = 4,847.76/x
  3. Step 3: Cross multiply
    8,034.30x = 11,087.43 × 4,847.76
  4. Step 4: Simplify right side
    8,034.30x = 53,749,199.66
  5. Step 5: Solve for x
    x = 53,749,199.66/8,034.30
  6. Step 6: Final answer
    x = 6,689.97

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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.