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Finding the Fourth Proportional to 6,427.80, 8,871.31 and 4,070.16

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Solution

The fourth proportional to 6,427.80, 8,871.31 and 4,070.16 is: 5,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.80 : 8,871.31 = 4,070.16 : x
  2. Step 2: Convert to fraction form
    6,427.80/8,871.31 = 4,070.16/x
  3. Step 3: Cross multiply
    6,427.80x = 8,871.31 × 4,070.16
  4. Step 4: Simplify right side
    6,427.80x = 36,107,651.11
  5. Step 5: Solve for x
    x = 36,107,651.11/6,427.80
  6. Step 6: Final answer
    x = 5,617.42

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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.