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Finding the Fourth Proportional to 7,208.10, 10,812.15 and 5,019.30

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Solution

The fourth proportional to 7,208.10, 10,812.15 and 5,019.30 is: 7,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.10 : 10,812.15 = 5,019.30 : x
  2. Step 2: Convert to fraction form
    7,208.10/10,812.15 = 5,019.30/x
  3. Step 3: Cross multiply
    7,208.10x = 10,812.15 × 5,019.30
  4. Step 4: Simplify right side
    7,208.10x = 54,269,424.50
  5. Step 5: Solve for x
    x = 54,269,424.50/7,208.10
  6. Step 6: Final answer
    x = 7,528.95

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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.