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Finding the Fourth Proportional to 7,652.13, 11,468.63 and 3,264.47

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Solution

The fourth proportional to 7,652.13, 11,468.63 and 3,264.47 is: 4,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.13 : 11,468.63 = 3,264.47 : x
  2. Step 2: Convert to fraction form
    7,652.13/11,468.63 = 3,264.47/x
  3. Step 3: Cross multiply
    7,652.13x = 11,468.63 × 3,264.47
  4. Step 4: Simplify right side
    7,652.13x = 37,438,998.58
  5. Step 5: Solve for x
    x = 37,438,998.58/7,652.13
  6. Step 6: Final answer
    x = 4,892.62

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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.