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Finding the Fourth Proportional to 7,297.74, 10,941.12 and 2,364.66

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Solution

The fourth proportional to 7,297.74, 10,941.12 and 2,364.66 is: 3,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.74 : 10,941.12 = 2,364.66 : x
  2. Step 2: Convert to fraction form
    7,297.74/10,941.12 = 2,364.66/x
  3. Step 3: Cross multiply
    7,297.74x = 10,941.12 × 2,364.66
  4. Step 4: Simplify right side
    7,297.74x = 25,872,028.82
  5. Step 5: Solve for x
    x = 25,872,028.82/7,297.74
  6. Step 6: Final answer
    x = 3,545.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.