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Finding the Fourth Proportional to 7,766.25, 11,649.32 and 4,647.12

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Solution

The fourth proportional to 7,766.25, 11,649.32 and 4,647.12 is: 6,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.25 : 11,649.32 = 4,647.12 : x
  2. Step 2: Convert to fraction form
    7,766.25/11,649.32 = 4,647.12/x
  3. Step 3: Cross multiply
    7,766.25x = 11,649.32 × 4,647.12
  4. Step 4: Simplify right side
    7,766.25x = 54,135,803.99
  5. Step 5: Solve for x
    x = 54,135,803.99/7,766.25
  6. Step 6: Final answer
    x = 6,970.65

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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.