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Finding the Fourth Proportional to 8,188.08, 11,299.48 and 4,462

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Solution

The fourth proportional to 8,188.08, 11,299.48 and 4,462 is: 6,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.08 : 11,299.48 = 4,462 : x
  2. Step 2: Convert to fraction form
    8,188.08/11,299.48 = 4,462/x
  3. Step 3: Cross multiply
    8,188.08x = 11,299.48 × 4,462
  4. Step 4: Simplify right side
    8,188.08x = 50,418,279.76
  5. Step 5: Solve for x
    x = 50,418,279.76/8,188.08
  6. Step 6: Final answer
    x = 6,157.52

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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.