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Finding the Fourth Proportional to 8,302.90, 11,536.63 and 8,216.23

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Solution

The fourth proportional to 8,302.90, 11,536.63 and 8,216.23 is: 11,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.90 : 11,536.63 = 8,216.23 : x
  2. Step 2: Convert to fraction form
    8,302.90/11,536.63 = 8,216.23/x
  3. Step 3: Cross multiply
    8,302.90x = 11,536.63 × 8,216.23
  4. Step 4: Simplify right side
    8,302.90x = 94,787,556.12
  5. Step 5: Solve for x
    x = 94,787,556.12/8,302.90
  6. Step 6: Final answer
    x = 11,416.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.