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Finding the Fourth Proportional to 7,664.72, 11,498.28 and 2,471.12

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Solution

The fourth proportional to 7,664.72, 11,498.28 and 2,471.12 is: 3,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.72 : 11,498.28 = 2,471.12 : x
  2. Step 2: Convert to fraction form
    7,664.72/11,498.28 = 2,471.12/x
  3. Step 3: Cross multiply
    7,664.72x = 11,498.28 × 2,471.12
  4. Step 4: Simplify right side
    7,664.72x = 28,413,629.67
  5. Step 5: Solve for x
    x = 28,413,629.67/7,664.72
  6. Step 6: Final answer
    x = 3,707.07

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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.