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Finding the Fourth Proportional to 7,444.34, 11,164.31 and 3,283.26

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Solution

The fourth proportional to 7,444.34, 11,164.31 and 3,283.26 is: 4,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.34 : 11,164.31 = 3,283.26 : x
  2. Step 2: Convert to fraction form
    7,444.34/11,164.31 = 3,283.26/x
  3. Step 3: Cross multiply
    7,444.34x = 11,164.31 × 3,283.26
  4. Step 4: Simplify right side
    7,444.34x = 36,655,316.03
  5. Step 5: Solve for x
    x = 36,655,316.03/7,444.34
  6. Step 6: Final answer
    x = 4,923.92

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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.