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Finding the Fourth Proportional to 6,776.61, 10,165.94 and 2,097.05

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Solution

The fourth proportional to 6,776.61, 10,165.94 and 2,097.05 is: 3,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.61 : 10,165.94 = 2,097.05 : x
  2. Step 2: Convert to fraction form
    6,776.61/10,165.94 = 2,097.05/x
  3. Step 3: Cross multiply
    6,776.61x = 10,165.94 × 2,097.05
  4. Step 4: Simplify right side
    6,776.61x = 21,318,423.16
  5. Step 5: Solve for x
    x = 21,318,423.16/6,776.61
  6. Step 6: Final answer
    x = 3,145.88

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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.