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Finding the Fourth Proportional to 12,007.51, 16,579.32 and 7,761.23

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Solution

The fourth proportional to 12,007.51, 16,579.32 and 7,761.23 is: 10,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.51 : 16,579.32 = 7,761.23 : x
  2. Step 2: Convert to fraction form
    12,007.51/16,579.32 = 7,761.23/x
  3. Step 3: Cross multiply
    12,007.51x = 16,579.32 × 7,761.23
  4. Step 4: Simplify right side
    12,007.51x = 128,675,865.93
  5. Step 5: Solve for x
    x = 128,675,865.93/12,007.51
  6. Step 6: Final answer
    x = 10,716.28

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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.