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Finding the Fourth Proportional to 7,105.20, 10,595.64 and 6,717

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Solution

The fourth proportional to 7,105.20, 10,595.64 and 6,717 is: 10,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.20 : 10,595.64 = 6,717 : x
  2. Step 2: Convert to fraction form
    7,105.20/10,595.64 = 6,717/x
  3. Step 3: Cross multiply
    7,105.20x = 10,595.64 × 6,717
  4. Step 4: Simplify right side
    7,105.20x = 71,170,913.88
  5. Step 5: Solve for x
    x = 71,170,913.88/7,105.20
  6. Step 6: Final answer
    x = 10,016.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.