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Finding the Fourth Proportional to 6,799.95, 10,200.37 and 2,416.23

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Solution

The fourth proportional to 6,799.95, 10,200.37 and 2,416.23 is: 3,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.95 : 10,200.37 = 2,416.23 : x
  2. Step 2: Convert to fraction form
    6,799.95/10,200.37 = 2,416.23/x
  3. Step 3: Cross multiply
    6,799.95x = 10,200.37 × 2,416.23
  4. Step 4: Simplify right side
    6,799.95x = 24,646,389.00
  5. Step 5: Solve for x
    x = 24,646,389.00/6,799.95
  6. Step 6: Final answer
    x = 3,624.50

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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.