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Finding the Fourth Proportional to 7,567.43, 10,426.12 and 5,676.08

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Solution

The fourth proportional to 7,567.43, 10,426.12 and 5,676.08 is: 7,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.43 : 10,426.12 = 5,676.08 : x
  2. Step 2: Convert to fraction form
    7,567.43/10,426.12 = 5,676.08/x
  3. Step 3: Cross multiply
    7,567.43x = 10,426.12 × 5,676.08
  4. Step 4: Simplify right side
    7,567.43x = 59,179,424.89
  5. Step 5: Solve for x
    x = 59,179,424.89/7,567.43
  6. Step 6: Final answer
    x = 7,820.29

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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.