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Finding the Fourth Proportional to 10,622.92, 14,674.62 and 8,512.47

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Solution

The fourth proportional to 10,622.92, 14,674.62 and 8,512.47 is: 11,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.92 : 14,674.62 = 8,512.47 : x
  2. Step 2: Convert to fraction form
    10,622.92/14,674.62 = 8,512.47/x
  3. Step 3: Cross multiply
    10,622.92x = 14,674.62 × 8,512.47
  4. Step 4: Simplify right side
    10,622.92x = 124,917,262.51
  5. Step 5: Solve for x
    x = 124,917,262.51/10,622.92
  6. Step 6: Final answer
    x = 11,759.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.