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Finding the Fourth Proportional to 7,251.06, 10,001.70 and 5,676.42

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Solution

The fourth proportional to 7,251.06, 10,001.70 and 5,676.42 is: 7,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.06 : 10,001.70 = 5,676.42 : x
  2. Step 2: Convert to fraction form
    7,251.06/10,001.70 = 5,676.42/x
  3. Step 3: Cross multiply
    7,251.06x = 10,001.70 × 5,676.42
  4. Step 4: Simplify right side
    7,251.06x = 56,773,849.91
  5. Step 5: Solve for x
    x = 56,773,849.91/7,251.06
  6. Step 6: Final answer
    x = 7,829.73

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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.