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Finding the Fourth Proportional to 10,310.64, 15,466 and 3,290.96

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Solution

The fourth proportional to 10,310.64, 15,466 and 3,290.96 is: 4,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.64 : 15,466 = 3,290.96 : x
  2. Step 2: Convert to fraction form
    10,310.64/15,466 = 3,290.96/x
  3. Step 3: Cross multiply
    10,310.64x = 15,466 × 3,290.96
  4. Step 4: Simplify right side
    10,310.64x = 50,897,987.36
  5. Step 5: Solve for x
    x = 50,897,987.36/10,310.64
  6. Step 6: Final answer
    x = 4,936.45

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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.