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Finding the Fourth Proportional to 10,503.27, 15,754.37 and 5,309.01

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Solution

The fourth proportional to 10,503.27, 15,754.37 and 5,309.01 is: 7,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.27 : 15,754.37 = 5,309.01 : x
  2. Step 2: Convert to fraction form
    10,503.27/15,754.37 = 5,309.01/x
  3. Step 3: Cross multiply
    10,503.27x = 15,754.37 × 5,309.01
  4. Step 4: Simplify right side
    10,503.27x = 83,640,081.33
  5. Step 5: Solve for x
    x = 83,640,081.33/10,503.27
  6. Step 6: Final answer
    x = 7,963.24

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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.