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Finding the Fourth Proportional to 8,216.60, 12,309.18 and 5,435.06

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Solution

The fourth proportional to 8,216.60, 12,309.18 and 5,435.06 is: 8,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.60 : 12,309.18 = 5,435.06 : x
  2. Step 2: Convert to fraction form
    8,216.60/12,309.18 = 5,435.06/x
  3. Step 3: Cross multiply
    8,216.60x = 12,309.18 × 5,435.06
  4. Step 4: Simplify right side
    8,216.60x = 66,901,070.30
  5. Step 5: Solve for x
    x = 66,901,070.30/8,216.60
  6. Step 6: Final answer
    x = 8,142.19

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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.