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Finding the Fourth Proportional to 7,143.72, 10,709.76 and 2,986.80

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Solution

The fourth proportional to 7,143.72, 10,709.76 and 2,986.80 is: 4,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.72 : 10,709.76 = 2,986.80 : x
  2. Step 2: Convert to fraction form
    7,143.72/10,709.76 = 2,986.80/x
  3. Step 3: Cross multiply
    7,143.72x = 10,709.76 × 2,986.80
  4. Step 4: Simplify right side
    7,143.72x = 31,987,911.17
  5. Step 5: Solve for x
    x = 31,987,911.17/7,143.72
  6. Step 6: Final answer
    x = 4,477.77

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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.