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Finding the Fourth Proportional to 7,208.08, 10,816.98 and 2,825

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Solution

The fourth proportional to 7,208.08, 10,816.98 and 2,825 is: 4,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.08 : 10,816.98 = 2,825 : x
  2. Step 2: Convert to fraction form
    7,208.08/10,816.98 = 2,825/x
  3. Step 3: Cross multiply
    7,208.08x = 10,816.98 × 2,825
  4. Step 4: Simplify right side
    7,208.08x = 30,557,968.50
  5. Step 5: Solve for x
    x = 30,557,968.50/7,208.08
  6. Step 6: Final answer
    x = 4,239.40

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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.