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Finding the Fourth Proportional to 10,436, 15,643.04 and 4,596.70

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Solution

The fourth proportional to 10,436, 15,643.04 and 4,596.70 is: 6,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436 : 15,643.04 = 4,596.70 : x
  2. Step 2: Convert to fraction form
    10,436/15,643.04 = 4,596.70/x
  3. Step 3: Cross multiply
    10,436x = 15,643.04 × 4,596.70
  4. Step 4: Simplify right side
    10,436x = 71,906,361.97
  5. Step 5: Solve for x
    x = 71,906,361.97/10,436
  6. Step 6: Final answer
    x = 6,890.22

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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.