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Finding the Fourth Proportional to 7,345.50, 11,018.25 and 2,151.42

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Solution

The fourth proportional to 7,345.50, 11,018.25 and 2,151.42 is: 3,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.50 : 11,018.25 = 2,151.42 : x
  2. Step 2: Convert to fraction form
    7,345.50/11,018.25 = 2,151.42/x
  3. Step 3: Cross multiply
    7,345.50x = 11,018.25 × 2,151.42
  4. Step 4: Simplify right side
    7,345.50x = 23,704,883.42
  5. Step 5: Solve for x
    x = 23,704,883.42/7,345.50
  6. Step 6: Final answer
    x = 3,227.13

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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.