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Finding the Fourth Proportional to 7,744.80, 10,688.05 and 4,208.23

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Solution

The fourth proportional to 7,744.80, 10,688.05 and 4,208.23 is: 5,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.80 : 10,688.05 = 4,208.23 : x
  2. Step 2: Convert to fraction form
    7,744.80/10,688.05 = 4,208.23/x
  3. Step 3: Cross multiply
    7,744.80x = 10,688.05 × 4,208.23
  4. Step 4: Simplify right side
    7,744.80x = 44,977,772.65
  5. Step 5: Solve for x
    x = 44,977,772.65/7,744.80
  6. Step 6: Final answer
    x = 5,807.48

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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.