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Finding the Fourth Proportional to 8,064.64, 12,097.02 and 2,221.57

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Solution

The fourth proportional to 8,064.64, 12,097.02 and 2,221.57 is: 3,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.64 : 12,097.02 = 2,221.57 : x
  2. Step 2: Convert to fraction form
    8,064.64/12,097.02 = 2,221.57/x
  3. Step 3: Cross multiply
    8,064.64x = 12,097.02 × 2,221.57
  4. Step 4: Simplify right side
    8,064.64x = 26,874,376.72
  5. Step 5: Solve for x
    x = 26,874,376.72/8,064.64
  6. Step 6: Final answer
    x = 3,332.37

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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.