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Finding the Fourth Proportional to 6,975.77, 10,464.19 and 2,593.27

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Solution

The fourth proportional to 6,975.77, 10,464.19 and 2,593.27 is: 3,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.77 : 10,464.19 = 2,593.27 : x
  2. Step 2: Convert to fraction form
    6,975.77/10,464.19 = 2,593.27/x
  3. Step 3: Cross multiply
    6,975.77x = 10,464.19 × 2,593.27
  4. Step 4: Simplify right side
    6,975.77x = 27,136,417.74
  5. Step 5: Solve for x
    x = 27,136,417.74/6,975.77
  6. Step 6: Final answer
    x = 3,890.10

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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.