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Finding the Fourth Proportional to 7,202.93, 10,807.02 and 2,823.39

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Solution

The fourth proportional to 7,202.93, 10,807.02 and 2,823.39 is: 4,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.93 : 10,807.02 = 2,823.39 : x
  2. Step 2: Convert to fraction form
    7,202.93/10,807.02 = 2,823.39/x
  3. Step 3: Cross multiply
    7,202.93x = 10,807.02 × 2,823.39
  4. Step 4: Simplify right side
    7,202.93x = 30,512,432.20
  5. Step 5: Solve for x
    x = 30,512,432.20/7,202.93
  6. Step 6: Final answer
    x = 4,236.12

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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.