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Finding the Fourth Proportional to 7,774.83, 11,655.86 and 3,092.83

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Solution

The fourth proportional to 7,774.83, 11,655.86 and 3,092.83 is: 4,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.83 : 11,655.86 = 3,092.83 : x
  2. Step 2: Convert to fraction form
    7,774.83/11,655.86 = 3,092.83/x
  3. Step 3: Cross multiply
    7,774.83x = 11,655.86 × 3,092.83
  4. Step 4: Simplify right side
    7,774.83x = 36,049,548.88
  5. Step 5: Solve for x
    x = 36,049,548.88/7,774.83
  6. Step 6: Final answer
    x = 4,636.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.