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Finding the Fourth Proportional to 7,297.68, 10,065.93 and 6,744

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Solution

The fourth proportional to 7,297.68, 10,065.93 and 6,744 is: 9,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.68 : 10,065.93 = 6,744 : x
  2. Step 2: Convert to fraction form
    7,297.68/10,065.93 = 6,744/x
  3. Step 3: Cross multiply
    7,297.68x = 10,065.93 × 6,744
  4. Step 4: Simplify right side
    7,297.68x = 67,884,631.92
  5. Step 5: Solve for x
    x = 67,884,631.92/7,297.68
  6. Step 6: Final answer
    x = 9,302.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.