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Finding the Fourth Proportional to 7,766.50, 10,718.58 and 4,410.22

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Solution

The fourth proportional to 7,766.50, 10,718.58 and 4,410.22 is: 6,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.50 : 10,718.58 = 4,410.22 : x
  2. Step 2: Convert to fraction form
    7,766.50/10,718.58 = 4,410.22/x
  3. Step 3: Cross multiply
    7,766.50x = 10,718.58 × 4,410.22
  4. Step 4: Simplify right side
    7,766.50x = 47,271,295.89
  5. Step 5: Solve for x
    x = 47,271,295.89/7,766.50
  6. Step 6: Final answer
    x = 6,086.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.