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Finding the Fourth Proportional to 8,057.63, 11,116.83 and 4,871.90

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Solution

The fourth proportional to 8,057.63, 11,116.83 and 4,871.90 is: 6,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.63 : 11,116.83 = 4,871.90 : x
  2. Step 2: Convert to fraction form
    8,057.63/11,116.83 = 4,871.90/x
  3. Step 3: Cross multiply
    8,057.63x = 11,116.83 × 4,871.90
  4. Step 4: Simplify right side
    8,057.63x = 54,160,028.49
  5. Step 5: Solve for x
    x = 54,160,028.49/8,057.63
  6. Step 6: Final answer
    x = 6,721.59

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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.