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Finding the Fourth Proportional to 7,866.67, 11,797.02 and 2,600.10

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Solution

The fourth proportional to 7,866.67, 11,797.02 and 2,600.10 is: 3,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.67 : 11,797.02 = 2,600.10 : x
  2. Step 2: Convert to fraction form
    7,866.67/11,797.02 = 2,600.10/x
  3. Step 3: Cross multiply
    7,866.67x = 11,797.02 × 2,600.10
  4. Step 4: Simplify right side
    7,866.67x = 30,673,424.39
  5. Step 5: Solve for x
    x = 30,673,424.39/7,866.67
  6. Step 6: Final answer
    x = 3,899.16

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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.