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Finding the Fourth Proportional to 10,839.32, 16,255.30 and 3,046.32

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Solution

The fourth proportional to 10,839.32, 16,255.30 and 3,046.32 is: 4,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.32 : 16,255.30 = 3,046.32 : x
  2. Step 2: Convert to fraction form
    10,839.32/16,255.30 = 3,046.32/x
  3. Step 3: Cross multiply
    10,839.32x = 16,255.30 × 3,046.32
  4. Step 4: Simplify right side
    10,839.32x = 49,518,845.50
  5. Step 5: Solve for x
    x = 49,518,845.50/10,839.32
  6. Step 6: Final answer
    x = 4,568.45

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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.