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Finding the Fourth Proportional to 6,809.79, 10,196.87 and 4,462.41

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Solution

The fourth proportional to 6,809.79, 10,196.87 and 4,462.41 is: 6,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.79 : 10,196.87 = 4,462.41 : x
  2. Step 2: Convert to fraction form
    6,809.79/10,196.87 = 4,462.41/x
  3. Step 3: Cross multiply
    6,809.79x = 10,196.87 × 4,462.41
  4. Step 4: Simplify right side
    6,809.79x = 45,502,592.34
  5. Step 5: Solve for x
    x = 45,502,592.34/6,809.79
  6. Step 6: Final answer
    x = 6,681.94

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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.