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Finding the Fourth Proportional to 7,773.12, 11,659.44 and 3,156

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Solution

The fourth proportional to 7,773.12, 11,659.44 and 3,156 is: 4,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.12 : 11,659.44 = 3,156 : x
  2. Step 2: Convert to fraction form
    7,773.12/11,659.44 = 3,156/x
  3. Step 3: Cross multiply
    7,773.12x = 11,659.44 × 3,156
  4. Step 4: Simplify right side
    7,773.12x = 36,797,192.64
  5. Step 5: Solve for x
    x = 36,797,192.64/7,773.12
  6. Step 6: Final answer
    x = 4,733.90

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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.