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Finding the Fourth Proportional to 8,152.77, 12,232.80 and 3,767.88

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Solution

The fourth proportional to 8,152.77, 12,232.80 and 3,767.88 is: 5,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.77 : 12,232.80 = 3,767.88 : x
  2. Step 2: Convert to fraction form
    8,152.77/12,232.80 = 3,767.88/x
  3. Step 3: Cross multiply
    8,152.77x = 12,232.80 × 3,767.88
  4. Step 4: Simplify right side
    8,152.77x = 46,091,722.46
  5. Step 5: Solve for x
    x = 46,091,722.46/8,152.77
  6. Step 6: Final answer
    x = 5,653.50

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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.