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Finding the Fourth Proportional to 8,085.76, 12,112.28 and 3,697.16

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Solution

The fourth proportional to 8,085.76, 12,112.28 and 3,697.16 is: 5,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.76 : 12,112.28 = 3,697.16 : x
  2. Step 2: Convert to fraction form
    8,085.76/12,112.28 = 3,697.16/x
  3. Step 3: Cross multiply
    8,085.76x = 12,112.28 × 3,697.16
  4. Step 4: Simplify right side
    8,085.76x = 44,781,037.12
  5. Step 5: Solve for x
    x = 44,781,037.12/8,085.76
  6. Step 6: Final answer
    x = 5,538.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.