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Finding the Fourth Proportional to 7,766.08, 11,649.14 and 3,605.56

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Solution

The fourth proportional to 7,766.08, 11,649.14 and 3,605.56 is: 5,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.08 : 11,649.14 = 3,605.56 : x
  2. Step 2: Convert to fraction form
    7,766.08/11,649.14 = 3,605.56/x
  3. Step 3: Cross multiply
    7,766.08x = 11,649.14 × 3,605.56
  4. Step 4: Simplify right side
    7,766.08x = 42,001,673.22
  5. Step 5: Solve for x
    x = 42,001,673.22/7,766.08
  6. Step 6: Final answer
    x = 5,408.35

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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.