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Finding the Fourth Proportional to 10,431.63, 15,646.06 and 3,767.44

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Solution

The fourth proportional to 10,431.63, 15,646.06 and 3,767.44 is: 5,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.63 : 15,646.06 = 3,767.44 : x
  2. Step 2: Convert to fraction form
    10,431.63/15,646.06 = 3,767.44/x
  3. Step 3: Cross multiply
    10,431.63x = 15,646.06 × 3,767.44
  4. Step 4: Simplify right side
    10,431.63x = 58,945,592.29
  5. Step 5: Solve for x
    x = 58,945,592.29/10,431.63
  6. Step 6: Final answer
    x = 5,650.66

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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.