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Finding the Fourth Proportional to 7,773.88, 11,662.65 and 3,094.16

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Solution

The fourth proportional to 7,773.88, 11,662.65 and 3,094.16 is: 4,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.88 : 11,662.65 = 3,094.16 : x
  2. Step 2: Convert to fraction form
    7,773.88/11,662.65 = 3,094.16/x
  3. Step 3: Cross multiply
    7,773.88x = 11,662.65 × 3,094.16
  4. Step 4: Simplify right side
    7,773.88x = 36,086,046.81
  5. Step 5: Solve for x
    x = 36,086,046.81/7,773.88
  6. Step 6: Final answer
    x = 4,641.96

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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.