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Finding the Fourth Proportional to 7,568.34, 11,352.54 and 2,021.70

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Solution

The fourth proportional to 7,568.34, 11,352.54 and 2,021.70 is: 3,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.34 : 11,352.54 = 2,021.70 : x
  2. Step 2: Convert to fraction form
    7,568.34/11,352.54 = 2,021.70/x
  3. Step 3: Cross multiply
    7,568.34x = 11,352.54 × 2,021.70
  4. Step 4: Simplify right side
    7,568.34x = 22,951,430.12
  5. Step 5: Solve for x
    x = 22,951,430.12/7,568.34
  6. Step 6: Final answer
    x = 3,032.56

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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.