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Finding the Fourth Proportional to 11,564.38, 17,333.40 and 4,896.72

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Solution

The fourth proportional to 11,564.38, 17,333.40 and 4,896.72 is: 7,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.38 : 17,333.40 = 4,896.72 : x
  2. Step 2: Convert to fraction form
    11,564.38/17,333.40 = 4,896.72/x
  3. Step 3: Cross multiply
    11,564.38x = 17,333.40 × 4,896.72
  4. Step 4: Simplify right side
    11,564.38x = 84,876,806.45
  5. Step 5: Solve for x
    x = 84,876,806.45/11,564.38
  6. Step 6: Final answer
    x = 7,339.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.