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Finding the Fourth Proportional to 8,160.77, 11,261.84 and 4,624.66

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Solution

The fourth proportional to 8,160.77, 11,261.84 and 4,624.66 is: 6,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.77 : 11,261.84 = 4,624.66 : x
  2. Step 2: Convert to fraction form
    8,160.77/11,261.84 = 4,624.66/x
  3. Step 3: Cross multiply
    8,160.77x = 11,261.84 × 4,624.66
  4. Step 4: Simplify right side
    8,160.77x = 52,082,101.54
  5. Step 5: Solve for x
    x = 52,082,101.54/8,160.77
  6. Step 6: Final answer
    x = 6,382.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.