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Finding the Fourth Proportional to 8,077.84, 11,142.77 and 5,047.71

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Solution

The fourth proportional to 8,077.84, 11,142.77 and 5,047.71 is: 6,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.84 : 11,142.77 = 5,047.71 : x
  2. Step 2: Convert to fraction form
    8,077.84/11,142.77 = 5,047.71/x
  3. Step 3: Cross multiply
    8,077.84x = 11,142.77 × 5,047.71
  4. Step 4: Simplify right side
    8,077.84x = 56,245,471.56
  5. Step 5: Solve for x
    x = 56,245,471.56/8,077.84
  6. Step 6: Final answer
    x = 6,962.93

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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.