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Finding the Fourth Proportional to 8,188.92, 11,302.53 and 5,204.18

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Solution

The fourth proportional to 8,188.92, 11,302.53 and 5,204.18 is: 7,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.92 : 11,302.53 = 5,204.18 : x
  2. Step 2: Convert to fraction form
    8,188.92/11,302.53 = 5,204.18/x
  3. Step 3: Cross multiply
    8,188.92x = 11,302.53 × 5,204.18
  4. Step 4: Simplify right side
    8,188.92x = 58,820,363.58
  5. Step 5: Solve for x
    x = 58,820,363.58/8,188.92
  6. Step 6: Final answer
    x = 7,182.92

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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.