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Finding the Fourth Proportional to 7,766.96, 11,639.64 and 4,799.12

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Solution

The fourth proportional to 7,766.96, 11,639.64 and 4,799.12 is: 7,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.96 : 11,639.64 = 4,799.12 : x
  2. Step 2: Convert to fraction form
    7,766.96/11,639.64 = 4,799.12/x
  3. Step 3: Cross multiply
    7,766.96x = 11,639.64 × 4,799.12
  4. Step 4: Simplify right side
    7,766.96x = 55,860,029.12
  5. Step 5: Solve for x
    x = 55,860,029.12/7,766.96
  6. Step 6: Final answer
    x = 7,192.01

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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.