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Finding the Fourth Proportional to 7,740.50, 10,686.94 and 5,388.26

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Solution

The fourth proportional to 7,740.50, 10,686.94 and 5,388.26 is: 7,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.50 : 10,686.94 = 5,388.26 : x
  2. Step 2: Convert to fraction form
    7,740.50/10,686.94 = 5,388.26/x
  3. Step 3: Cross multiply
    7,740.50x = 10,686.94 × 5,388.26
  4. Step 4: Simplify right side
    7,740.50x = 57,583,944.42
  5. Step 5: Solve for x
    x = 57,583,944.42/7,740.50
  6. Step 6: Final answer
    x = 7,439.31

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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.