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Finding the Fourth Proportional to 7,900.41, 11,850.63 and 2,057.01

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Solution

The fourth proportional to 7,900.41, 11,850.63 and 2,057.01 is: 3,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.41 : 11,850.63 = 2,057.01 : x
  2. Step 2: Convert to fraction form
    7,900.41/11,850.63 = 2,057.01/x
  3. Step 3: Cross multiply
    7,900.41x = 11,850.63 × 2,057.01
  4. Step 4: Simplify right side
    7,900.41x = 24,376,864.42
  5. Step 5: Solve for x
    x = 24,376,864.42/7,900.41
  6. Step 6: Final answer
    x = 3,085.52

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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.