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Finding the Fourth Proportional to 10,129.16, 15,196.16 and 3,889.22

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Solution

The fourth proportional to 10,129.16, 15,196.16 and 3,889.22 is: 5,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.16 : 15,196.16 = 3,889.22 : x
  2. Step 2: Convert to fraction form
    10,129.16/15,196.16 = 3,889.22/x
  3. Step 3: Cross multiply
    10,129.16x = 15,196.16 × 3,889.22
  4. Step 4: Simplify right side
    10,129.16x = 59,101,113.97
  5. Step 5: Solve for x
    x = 59,101,113.97/10,129.16
  6. Step 6: Final answer
    x = 5,834.75

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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.