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Finding the Fourth Proportional to 7,089.68, 10,633.10 and 6,738.42

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Solution

The fourth proportional to 7,089.68, 10,633.10 and 6,738.42 is: 10,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.68 : 10,633.10 = 6,738.42 : x
  2. Step 2: Convert to fraction form
    7,089.68/10,633.10 = 6,738.42/x
  3. Step 3: Cross multiply
    7,089.68x = 10,633.10 × 6,738.42
  4. Step 4: Simplify right side
    7,089.68x = 71,650,293.70
  5. Step 5: Solve for x
    x = 71,650,293.70/7,089.68
  6. Step 6: Final answer
    x = 10,106.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.