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Finding the Fourth Proportional to 7,129.62, 10,622.75 and 6,682.50

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Solution

The fourth proportional to 7,129.62, 10,622.75 and 6,682.50 is: 9,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.62 : 10,622.75 = 6,682.50 : x
  2. Step 2: Convert to fraction form
    7,129.62/10,622.75 = 6,682.50/x
  3. Step 3: Cross multiply
    7,129.62x = 10,622.75 × 6,682.50
  4. Step 4: Simplify right side
    7,129.62x = 70,986,493.46
  5. Step 5: Solve for x
    x = 70,986,493.46/7,129.62
  6. Step 6: Final answer
    x = 9,956.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.