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Finding the Fourth Proportional to 8,526.16, 11,766.97 and 5,171.34

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Solution

The fourth proportional to 8,526.16, 11,766.97 and 5,171.34 is: 7,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.16 : 11,766.97 = 5,171.34 : x
  2. Step 2: Convert to fraction form
    8,526.16/11,766.97 = 5,171.34/x
  3. Step 3: Cross multiply
    8,526.16x = 11,766.97 × 5,171.34
  4. Step 4: Simplify right side
    8,526.16x = 60,851,053.23
  5. Step 5: Solve for x
    x = 60,851,053.23/8,526.16
  6. Step 6: Final answer
    x = 7,136.98

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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.