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Finding the Fourth Proportional to 6,971.67, 10,461.06 and 4,633.27

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Solution

The fourth proportional to 6,971.67, 10,461.06 and 4,633.27 is: 6,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.67 : 10,461.06 = 4,633.27 : x
  2. Step 2: Convert to fraction form
    6,971.67/10,461.06 = 4,633.27/x
  3. Step 3: Cross multiply
    6,971.67x = 10,461.06 × 4,633.27
  4. Step 4: Simplify right side
    6,971.67x = 48,468,889.31
  5. Step 5: Solve for x
    x = 48,468,889.31/6,971.67
  6. Step 6: Final answer
    x = 6,952.26

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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.