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Finding the Fourth Proportional to 7,297.35, 10,946.22 and 2,617.66

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Solution

The fourth proportional to 7,297.35, 10,946.22 and 2,617.66 is: 3,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.35 : 10,946.22 = 2,617.66 : x
  2. Step 2: Convert to fraction form
    7,297.35/10,946.22 = 2,617.66/x
  3. Step 3: Cross multiply
    7,297.35x = 10,946.22 × 2,617.66
  4. Step 4: Simplify right side
    7,297.35x = 28,653,482.25
  5. Step 5: Solve for x
    x = 28,653,482.25/7,297.35
  6. Step 6: Final answer
    x = 3,926.56

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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.