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Finding the Fourth Proportional to 8,130.57, 11,213.16 and 5,296.88

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Solution

The fourth proportional to 8,130.57, 11,213.16 and 5,296.88 is: 7,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.57 : 11,213.16 = 5,296.88 : x
  2. Step 2: Convert to fraction form
    8,130.57/11,213.16 = 5,296.88/x
  3. Step 3: Cross multiply
    8,130.57x = 11,213.16 × 5,296.88
  4. Step 4: Simplify right side
    8,130.57x = 59,394,706.88
  5. Step 5: Solve for x
    x = 59,394,706.88/8,130.57
  6. Step 6: Final answer
    x = 7,305.11

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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.