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Finding the Fourth Proportional to 6,805.20, 10,207.80 and 6,513.60

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Solution

The fourth proportional to 6,805.20, 10,207.80 and 6,513.60 is: 9,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.20 : 10,207.80 = 6,513.60 : x
  2. Step 2: Convert to fraction form
    6,805.20/10,207.80 = 6,513.60/x
  3. Step 3: Cross multiply
    6,805.20x = 10,207.80 × 6,513.60
  4. Step 4: Simplify right side
    6,805.20x = 66,489,526.08
  5. Step 5: Solve for x
    x = 66,489,526.08/6,805.20
  6. Step 6: Final answer
    x = 9,770.40

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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.