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Finding the Fourth Proportional to 6,141.59, 8,477.21 and 5,311.22

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Solution

The fourth proportional to 6,141.59, 8,477.21 and 5,311.22 is: 7,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.59 : 8,477.21 = 5,311.22 : x
  2. Step 2: Convert to fraction form
    6,141.59/8,477.21 = 5,311.22/x
  3. Step 3: Cross multiply
    6,141.59x = 8,477.21 × 5,311.22
  4. Step 4: Simplify right side
    6,141.59x = 45,024,327.30
  5. Step 5: Solve for x
    x = 45,024,327.30/6,141.59
  6. Step 6: Final answer
    x = 7,331.05

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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.