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Finding the Fourth Proportional to 10,196.51, 15,294.83 and 4,353.17

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Solution

The fourth proportional to 10,196.51, 15,294.83 and 4,353.17 is: 6,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.51 : 15,294.83 = 4,353.17 : x
  2. Step 2: Convert to fraction form
    10,196.51/15,294.83 = 4,353.17/x
  3. Step 3: Cross multiply
    10,196.51x = 15,294.83 × 4,353.17
  4. Step 4: Simplify right side
    10,196.51x = 66,580,896.87
  5. Step 5: Solve for x
    x = 66,580,896.87/10,196.51
  6. Step 6: Final answer
    x = 6,529.78

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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.