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Finding the Fourth Proportional to 6,909.80, 10,353.57 and 4,135.14

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Solution

The fourth proportional to 6,909.80, 10,353.57 and 4,135.14 is: 6,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.80 : 10,353.57 = 4,135.14 : x
  2. Step 2: Convert to fraction form
    6,909.80/10,353.57 = 4,135.14/x
  3. Step 3: Cross multiply
    6,909.80x = 10,353.57 × 4,135.14
  4. Step 4: Simplify right side
    6,909.80x = 42,813,461.45
  5. Step 5: Solve for x
    x = 42,813,461.45/6,909.80
  6. Step 6: Final answer
    x = 6,196.05

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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.