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Finding the Fourth Proportional to 7,184.26, 10,776.39 and 6,207.40

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Solution

The fourth proportional to 7,184.26, 10,776.39 and 6,207.40 is: 9,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.26 : 10,776.39 = 6,207.40 : x
  2. Step 2: Convert to fraction form
    7,184.26/10,776.39 = 6,207.40/x
  3. Step 3: Cross multiply
    7,184.26x = 10,776.39 × 6,207.40
  4. Step 4: Simplify right side
    7,184.26x = 66,893,363.29
  5. Step 5: Solve for x
    x = 66,893,363.29/7,184.26
  6. Step 6: Final answer
    x = 9,311.10

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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.