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Finding the Fourth Proportional to 10,464.89, 15,694.90 and 3,894.17

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Solution

The fourth proportional to 10,464.89, 15,694.90 and 3,894.17 is: 5,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.89 : 15,694.90 = 3,894.17 : x
  2. Step 2: Convert to fraction form
    10,464.89/15,694.90 = 3,894.17/x
  3. Step 3: Cross multiply
    10,464.89x = 15,694.90 × 3,894.17
  4. Step 4: Simplify right side
    10,464.89x = 61,118,520.52
  5. Step 5: Solve for x
    x = 61,118,520.52/10,464.89
  6. Step 6: Final answer
    x = 5,840.34

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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.