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Finding the Fourth Proportional to 12,292.05, 16,958.66 and 7,253.75

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Solution

The fourth proportional to 12,292.05, 16,958.66 and 7,253.75 is: 10,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.05 : 16,958.66 = 7,253.75 : x
  2. Step 2: Convert to fraction form
    12,292.05/16,958.66 = 7,253.75/x
  3. Step 3: Cross multiply
    12,292.05x = 16,958.66 × 7,253.75
  4. Step 4: Simplify right side
    12,292.05x = 123,013,886.10
  5. Step 5: Solve for x
    x = 123,013,886.10/12,292.05
  6. Step 6: Final answer
    x = 10,007.60

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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.