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Finding the Fourth Proportional to 6,347.81, 8,757.96 and 4,111.40

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Solution

The fourth proportional to 6,347.81, 8,757.96 and 4,111.40 is: 5,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.81 : 8,757.96 = 4,111.40 : x
  2. Step 2: Convert to fraction form
    6,347.81/8,757.96 = 4,111.40/x
  3. Step 3: Cross multiply
    6,347.81x = 8,757.96 × 4,111.40
  4. Step 4: Simplify right side
    6,347.81x = 36,007,483.22
  5. Step 5: Solve for x
    x = 36,007,483.22/6,347.81
  6. Step 6: Final answer
    x = 5,672.42

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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.