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Finding the Fourth Proportional to 8,302.22, 12,454.53 and 2,458.06

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Solution

The fourth proportional to 8,302.22, 12,454.53 and 2,458.06 is: 3,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.22 : 12,454.53 = 2,458.06 : x
  2. Step 2: Convert to fraction form
    8,302.22/12,454.53 = 2,458.06/x
  3. Step 3: Cross multiply
    8,302.22x = 12,454.53 × 2,458.06
  4. Step 4: Simplify right side
    8,302.22x = 30,613,982.01
  5. Step 5: Solve for x
    x = 30,613,982.01/8,302.22
  6. Step 6: Final answer
    x = 3,687.45

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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.