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Finding the Fourth Proportional to 8,155.77, 12,226.32 and 2,958

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Solution

The fourth proportional to 8,155.77, 12,226.32 and 2,958 is: 4,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.77 : 12,226.32 = 2,958 : x
  2. Step 2: Convert to fraction form
    8,155.77/12,226.32 = 2,958/x
  3. Step 3: Cross multiply
    8,155.77x = 12,226.32 × 2,958
  4. Step 4: Simplify right side
    8,155.77x = 36,165,454.56
  5. Step 5: Solve for x
    x = 36,165,454.56/8,155.77
  6. Step 6: Final answer
    x = 4,434.34

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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.