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Finding the Fourth Proportional to 10,410.65, 14,371.39 and 6,638.88

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Solution

The fourth proportional to 10,410.65, 14,371.39 and 6,638.88 is: 9,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.65 : 14,371.39 = 6,638.88 : x
  2. Step 2: Convert to fraction form
    10,410.65/14,371.39 = 6,638.88/x
  3. Step 3: Cross multiply
    10,410.65x = 14,371.39 × 6,638.88
  4. Step 4: Simplify right side
    10,410.65x = 95,409,933.64
  5. Step 5: Solve for x
    x = 95,409,933.64/10,410.65
  6. Step 6: Final answer
    x = 9,164.65

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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.