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Finding the Fourth Proportional to 7,774.67, 11,663.82 and 3,094.96

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Solution

The fourth proportional to 7,774.67, 11,663.82 and 3,094.96 is: 4,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.67 : 11,663.82 = 3,094.96 : x
  2. Step 2: Convert to fraction form
    7,774.67/11,663.82 = 3,094.96/x
  3. Step 3: Cross multiply
    7,774.67x = 11,663.82 × 3,094.96
  4. Step 4: Simplify right side
    7,774.67x = 36,099,056.35
  5. Step 5: Solve for x
    x = 36,099,056.35/7,774.67
  6. Step 6: Final answer
    x = 4,643.17

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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.