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Finding the Fourth Proportional to 7,664.49, 11,524.73 and 7,055.51

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Solution

The fourth proportional to 7,664.49, 11,524.73 and 7,055.51 is: 10,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.49 : 11,524.73 = 7,055.51 : x
  2. Step 2: Convert to fraction form
    7,664.49/11,524.73 = 7,055.51/x
  3. Step 3: Cross multiply
    7,664.49x = 11,524.73 × 7,055.51
  4. Step 4: Simplify right side
    7,664.49x = 81,312,754.86
  5. Step 5: Solve for x
    x = 81,312,754.86/7,664.49
  6. Step 6: Final answer
    x = 10,609.02

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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.