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Finding the Fourth Proportional to 7,310.20, 10,965.30 and 6,705.40

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Solution

The fourth proportional to 7,310.20, 10,965.30 and 6,705.40 is: 10,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.20 : 10,965.30 = 6,705.40 : x
  2. Step 2: Convert to fraction form
    7,310.20/10,965.30 = 6,705.40/x
  3. Step 3: Cross multiply
    7,310.20x = 10,965.30 × 6,705.40
  4. Step 4: Simplify right side
    7,310.20x = 73,526,722.62
  5. Step 5: Solve for x
    x = 73,526,722.62/7,310.20
  6. Step 6: Final answer
    x = 10,058.10

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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.