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Finding the Fourth Proportional to 7,774.98, 11,656.56 and 4,022.73

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Solution

The fourth proportional to 7,774.98, 11,656.56 and 4,022.73 is: 6,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.98 : 11,656.56 = 4,022.73 : x
  2. Step 2: Convert to fraction form
    7,774.98/11,656.56 = 4,022.73/x
  3. Step 3: Cross multiply
    7,774.98x = 11,656.56 × 4,022.73
  4. Step 4: Simplify right side
    7,774.98x = 46,891,193.61
  5. Step 5: Solve for x
    x = 46,891,193.61/7,774.98
  6. Step 6: Final answer
    x = 6,031.04

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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.