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Finding the Fourth Proportional to 10,706.39, 16,048.54 and 4,470.03

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Solution

The fourth proportional to 10,706.39, 16,048.54 and 4,470.03 is: 6,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.39 : 16,048.54 = 4,470.03 : x
  2. Step 2: Convert to fraction form
    10,706.39/16,048.54 = 4,470.03/x
  3. Step 3: Cross multiply
    10,706.39x = 16,048.54 × 4,470.03
  4. Step 4: Simplify right side
    10,706.39x = 71,737,375.01
  5. Step 5: Solve for x
    x = 71,737,375.01/10,706.39
  6. Step 6: Final answer
    x = 6,700.43

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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.