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Finding the Fourth Proportional to 7,652.12, 11,476.60 and 3,490.96

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Solution

The fourth proportional to 7,652.12, 11,476.60 and 3,490.96 is: 5,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.12 : 11,476.60 = 3,490.96 : x
  2. Step 2: Convert to fraction form
    7,652.12/11,476.60 = 3,490.96/x
  3. Step 3: Cross multiply
    7,652.12x = 11,476.60 × 3,490.96
  4. Step 4: Simplify right side
    7,652.12x = 40,064,351.54
  5. Step 5: Solve for x
    x = 40,064,351.54/7,652.12
  6. Step 6: Final answer
    x = 5,235.72

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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.