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Finding the Fourth Proportional to 10,164.72, 14,022.28 and 6,808.24

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Solution

The fourth proportional to 10,164.72, 14,022.28 and 6,808.24 is: 9,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.72 : 14,022.28 = 6,808.24 : x
  2. Step 2: Convert to fraction form
    10,164.72/14,022.28 = 6,808.24/x
  3. Step 3: Cross multiply
    10,164.72x = 14,022.28 × 6,808.24
  4. Step 4: Simplify right side
    10,164.72x = 95,467,047.59
  5. Step 5: Solve for x
    x = 95,467,047.59/10,164.72
  6. Step 6: Final answer
    x = 9,392.00

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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.