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Finding the Fourth Proportional to 7,652.82, 11,478.15 and 2,458.02

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Solution

The fourth proportional to 7,652.82, 11,478.15 and 2,458.02 is: 3,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.82 : 11,478.15 = 2,458.02 : x
  2. Step 2: Convert to fraction form
    7,652.82/11,478.15 = 2,458.02/x
  3. Step 3: Cross multiply
    7,652.82x = 11,478.15 × 2,458.02
  4. Step 4: Simplify right side
    7,652.82x = 28,213,522.26
  5. Step 5: Solve for x
    x = 28,213,522.26/7,652.82
  6. Step 6: Final answer
    x = 3,686.68

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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.