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Finding the Fourth Proportional to 10,700.90, 16,050.44 and 3,680.54

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Solution

The fourth proportional to 10,700.90, 16,050.44 and 3,680.54 is: 5,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.90 : 16,050.44 = 3,680.54 : x
  2. Step 2: Convert to fraction form
    10,700.90/16,050.44 = 3,680.54/x
  3. Step 3: Cross multiply
    10,700.90x = 16,050.44 × 3,680.54
  4. Step 4: Simplify right side
    10,700.90x = 59,074,215.39
  5. Step 5: Solve for x
    x = 59,074,215.39/10,700.90
  6. Step 6: Final answer
    x = 5,520.49

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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.