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Finding the Fourth Proportional to 8,061.65, 12,070.60 and 4,157.85

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Solution

The fourth proportional to 8,061.65, 12,070.60 and 4,157.85 is: 6,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061.65 : 12,070.60 = 4,157.85 : x
  2. Step 2: Convert to fraction form
    8,061.65/12,070.60 = 4,157.85/x
  3. Step 3: Cross multiply
    8,061.65x = 12,070.60 × 4,157.85
  4. Step 4: Simplify right side
    8,061.65x = 50,187,723.42
  5. Step 5: Solve for x
    x = 50,187,723.42/8,061.65
  6. Step 6: Final answer
    x = 6,225.49

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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.