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Finding the Fourth Proportional to 8,774.68, 13,160.22 and 3,226.10

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Solution

The fourth proportional to 8,774.68, 13,160.22 and 3,226.10 is: 4,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.68 : 13,160.22 = 3,226.10 : x
  2. Step 2: Convert to fraction form
    8,774.68/13,160.22 = 3,226.10/x
  3. Step 3: Cross multiply
    8,774.68x = 13,160.22 × 3,226.10
  4. Step 4: Simplify right side
    8,774.68x = 42,456,185.74
  5. Step 5: Solve for x
    x = 42,456,185.74/8,774.68
  6. Step 6: Final answer
    x = 4,838.49

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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.