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Finding the Fourth Proportional to 6,901.59, 10,352.16 and 4,109.57

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Solution

The fourth proportional to 6,901.59, 10,352.16 and 4,109.57 is: 6,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.59 : 10,352.16 = 4,109.57 : x
  2. Step 2: Convert to fraction form
    6,901.59/10,352.16 = 4,109.57/x
  3. Step 3: Cross multiply
    6,901.59x = 10,352.16 × 4,109.57
  4. Step 4: Simplify right side
    6,901.59x = 42,542,952.05
  5. Step 5: Solve for x
    x = 42,542,952.05/6,901.59
  6. Step 6: Final answer
    x = 6,164.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.