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Finding the Fourth Proportional to 10,637.68, 14,680.64 and 6,162.84

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Solution

The fourth proportional to 10,637.68, 14,680.64 and 6,162.84 is: 8,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.68 : 14,680.64 = 6,162.84 : x
  2. Step 2: Convert to fraction form
    10,637.68/14,680.64 = 6,162.84/x
  3. Step 3: Cross multiply
    10,637.68x = 14,680.64 × 6,162.84
  4. Step 4: Simplify right side
    10,637.68x = 90,474,435.42
  5. Step 5: Solve for x
    x = 90,474,435.42/10,637.68
  6. Step 6: Final answer
    x = 8,505.09

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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.