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Finding the Fourth Proportional to 10,461.86, 15,694.91 and 3,887.49

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Solution

The fourth proportional to 10,461.86, 15,694.91 and 3,887.49 is: 5,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.86 : 15,694.91 = 3,887.49 : x
  2. Step 2: Convert to fraction form
    10,461.86/15,694.91 = 3,887.49/x
  3. Step 3: Cross multiply
    10,461.86x = 15,694.91 × 3,887.49
  4. Step 4: Simplify right side
    10,461.86x = 61,013,881.54
  5. Step 5: Solve for x
    x = 61,013,881.54/10,461.86
  6. Step 6: Final answer
    x = 5,832.03

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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.