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Finding the Fourth Proportional to 8,047.42, 12,057.98 and 7,739.88

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Solution

The fourth proportional to 8,047.42, 12,057.98 and 7,739.88 is: 11,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.42 : 12,057.98 = 7,739.88 : x
  2. Step 2: Convert to fraction form
    8,047.42/12,057.98 = 7,739.88/x
  3. Step 3: Cross multiply
    8,047.42x = 12,057.98 × 7,739.88
  4. Step 4: Simplify right side
    8,047.42x = 93,327,318.24
  5. Step 5: Solve for x
    x = 93,327,318.24/8,047.42
  6. Step 6: Final answer
    x = 11,597.17

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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.