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Finding the Fourth Proportional to 8,180.60, 11,292.62 and 5,822.28

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Solution

The fourth proportional to 8,180.60, 11,292.62 and 5,822.28 is: 8,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.60 : 11,292.62 = 5,822.28 : x
  2. Step 2: Convert to fraction form
    8,180.60/11,292.62 = 5,822.28/x
  3. Step 3: Cross multiply
    8,180.60x = 11,292.62 × 5,822.28
  4. Step 4: Simplify right side
    8,180.60x = 65,748,766.46
  5. Step 5: Solve for x
    x = 65,748,766.46/8,180.60
  6. Step 6: Final answer
    x = 8,037.16

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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.