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Finding the Fourth Proportional to 7,480.14, 11,218.95 and 5,282.19

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Solution

The fourth proportional to 7,480.14, 11,218.95 and 5,282.19 is: 7,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.14 : 11,218.95 = 5,282.19 : x
  2. Step 2: Convert to fraction form
    7,480.14/11,218.95 = 5,282.19/x
  3. Step 3: Cross multiply
    7,480.14x = 11,218.95 × 5,282.19
  4. Step 4: Simplify right side
    7,480.14x = 59,260,625.50
  5. Step 5: Solve for x
    x = 59,260,625.50/7,480.14
  6. Step 6: Final answer
    x = 7,922.40

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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.