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Finding the Fourth Proportional to 10,775.34, 14,872.01 and 6,744.04

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Solution

The fourth proportional to 10,775.34, 14,872.01 and 6,744.04 is: 9,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.34 : 14,872.01 = 6,744.04 : x
  2. Step 2: Convert to fraction form
    10,775.34/14,872.01 = 6,744.04/x
  3. Step 3: Cross multiply
    10,775.34x = 14,872.01 × 6,744.04
  4. Step 4: Simplify right side
    10,775.34x = 100,297,397.36
  5. Step 5: Solve for x
    x = 100,297,397.36/10,775.34
  6. Step 6: Final answer
    x = 9,308.05

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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.