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Finding the Fourth Proportional to 7,961.77, 10,988.45 and 5,731.03

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Solution

The fourth proportional to 7,961.77, 10,988.45 and 5,731.03 is: 7,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.77 : 10,988.45 = 5,731.03 : x
  2. Step 2: Convert to fraction form
    7,961.77/10,988.45 = 5,731.03/x
  3. Step 3: Cross multiply
    7,961.77x = 10,988.45 × 5,731.03
  4. Step 4: Simplify right side
    7,961.77x = 62,975,136.60
  5. Step 5: Solve for x
    x = 62,975,136.60/7,961.77
  6. Step 6: Final answer
    x = 7,909.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.