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Finding the Fourth Proportional to 7,145.96, 10,717.84 and 2,762.80

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Solution

The fourth proportional to 7,145.96, 10,717.84 and 2,762.80 is: 4,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.96 : 10,717.84 = 2,762.80 : x
  2. Step 2: Convert to fraction form
    7,145.96/10,717.84 = 2,762.80/x
  3. Step 3: Cross multiply
    7,145.96x = 10,717.84 × 2,762.80
  4. Step 4: Simplify right side
    7,145.96x = 29,611,248.35
  5. Step 5: Solve for x
    x = 29,611,248.35/7,145.96
  6. Step 6: Final answer
    x = 4,143.77

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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.