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Finding the Fourth Proportional to 10,479.44, 15,724.56 and 4,640.16

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Solution

The fourth proportional to 10,479.44, 15,724.56 and 4,640.16 is: 6,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.44 : 15,724.56 = 4,640.16 : x
  2. Step 2: Convert to fraction form
    10,479.44/15,724.56 = 4,640.16/x
  3. Step 3: Cross multiply
    10,479.44x = 15,724.56 × 4,640.16
  4. Step 4: Simplify right side
    10,479.44x = 72,964,474.33
  5. Step 5: Solve for x
    x = 72,964,474.33/10,479.44
  6. Step 6: Final answer
    x = 6,962.63

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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.