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Finding the Fourth Proportional to 12,093.45, 16,689.42 and 7,056.87

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Solution

The fourth proportional to 12,093.45, 16,689.42 and 7,056.87 is: 9,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.45 : 16,689.42 = 7,056.87 : x
  2. Step 2: Convert to fraction form
    12,093.45/16,689.42 = 7,056.87/x
  3. Step 3: Cross multiply
    12,093.45x = 16,689.42 × 7,056.87
  4. Step 4: Simplify right side
    12,093.45x = 117,775,067.32
  5. Step 5: Solve for x
    x = 117,775,067.32/12,093.45
  6. Step 6: Final answer
    x = 9,738.75

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Why These Related Problems?

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