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Finding the Fourth Proportional to 10,477.04, 15,706.22 and 3,898.73

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Solution

The fourth proportional to 10,477.04, 15,706.22 and 3,898.73 is: 5,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.04 : 15,706.22 = 3,898.73 : x
  2. Step 2: Convert to fraction form
    10,477.04/15,706.22 = 3,898.73/x
  3. Step 3: Cross multiply
    10,477.04x = 15,706.22 × 3,898.73
  4. Step 4: Simplify right side
    10,477.04x = 61,234,213.08
  5. Step 5: Solve for x
    x = 61,234,213.08/10,477.04
  6. Step 6: Final answer
    x = 5,844.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.