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Finding the Fourth Proportional to 7,244.44, 10,866.93 and 2,564.95

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Solution

The fourth proportional to 7,244.44, 10,866.93 and 2,564.95 is: 3,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.44 : 10,866.93 = 2,564.95 : x
  2. Step 2: Convert to fraction form
    7,244.44/10,866.93 = 2,564.95/x
  3. Step 3: Cross multiply
    7,244.44x = 10,866.93 × 2,564.95
  4. Step 4: Simplify right side
    7,244.44x = 27,873,132.10
  5. Step 5: Solve for x
    x = 27,873,132.10/7,244.44
  6. Step 6: Final answer
    x = 3,847.52

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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.