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Finding the Fourth Proportional to 7,966.53, 11,950.94 and 2,702

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Solution

The fourth proportional to 7,966.53, 11,950.94 and 2,702 is: 4,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.53 : 11,950.94 = 2,702 : x
  2. Step 2: Convert to fraction form
    7,966.53/11,950.94 = 2,702/x
  3. Step 3: Cross multiply
    7,966.53x = 11,950.94 × 2,702
  4. Step 4: Simplify right side
    7,966.53x = 32,291,439.88
  5. Step 5: Solve for x
    x = 32,291,439.88/7,966.53
  6. Step 6: Final answer
    x = 4,053.39

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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.