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Finding the Fourth Proportional to 11,896.24, 17,876.76 and 6,353.52

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Solution

The fourth proportional to 11,896.24, 17,876.76 and 6,353.52 is: 9,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.24 : 17,876.76 = 6,353.52 : x
  2. Step 2: Convert to fraction form
    11,896.24/17,876.76 = 6,353.52/x
  3. Step 3: Cross multiply
    11,896.24x = 17,876.76 × 6,353.52
  4. Step 4: Simplify right side
    11,896.24x = 113,580,352.20
  5. Step 5: Solve for x
    x = 113,580,352.20/11,896.24
  6. Step 6: Final answer
    x = 9,547.58

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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.