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Finding the Fourth Proportional to 10,410.72, 14,367.30 and 6,164.22

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Solution

The fourth proportional to 10,410.72, 14,367.30 and 6,164.22 is: 8,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.72 : 14,367.30 = 6,164.22 : x
  2. Step 2: Convert to fraction form
    10,410.72/14,367.30 = 6,164.22/x
  3. Step 3: Cross multiply
    10,410.72x = 14,367.30 × 6,164.22
  4. Step 4: Simplify right side
    10,410.72x = 88,563,198.01
  5. Step 5: Solve for x
    x = 88,563,198.01/10,410.72
  6. Step 6: Final answer
    x = 8,506.92

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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.