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Finding the Fourth Proportional to 10,584.27, 15,876.41 and 7,296.48

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Solution

The fourth proportional to 10,584.27, 15,876.41 and 7,296.48 is: 10,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.27 : 15,876.41 = 7,296.48 : x
  2. Step 2: Convert to fraction form
    10,584.27/15,876.41 = 7,296.48/x
  3. Step 3: Cross multiply
    10,584.27x = 15,876.41 × 7,296.48
  4. Step 4: Simplify right side
    10,584.27x = 115,841,871.55
  5. Step 5: Solve for x
    x = 115,841,871.55/10,584.27
  6. Step 6: Final answer
    x = 10,944.72

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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.