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Finding the Fourth Proportional to 7,568.12, 10,426.97 and 5,676.77

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Solution

The fourth proportional to 7,568.12, 10,426.97 and 5,676.77 is: 7,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.12 : 10,426.97 = 5,676.77 : x
  2. Step 2: Convert to fraction form
    7,568.12/10,426.97 = 5,676.77/x
  3. Step 3: Cross multiply
    7,568.12x = 10,426.97 × 5,676.77
  4. Step 4: Simplify right side
    7,568.12x = 59,191,429.97
  5. Step 5: Solve for x
    x = 59,191,429.97/7,568.12
  6. Step 6: Final answer
    x = 7,821.16

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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.