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Finding the Fourth Proportional to 8,211.64, 12,317.46 and 2,055.64

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Solution

The fourth proportional to 8,211.64, 12,317.46 and 2,055.64 is: 3,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.64 : 12,317.46 = 2,055.64 : x
  2. Step 2: Convert to fraction form
    8,211.64/12,317.46 = 2,055.64/x
  3. Step 3: Cross multiply
    8,211.64x = 12,317.46 × 2,055.64
  4. Step 4: Simplify right side
    8,211.64x = 25,320,263.47
  5. Step 5: Solve for x
    x = 25,320,263.47/8,211.64
  6. Step 6: Final answer
    x = 3,083.46

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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.