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Finding the Fourth Proportional to 11,857.70, 17,803.02 and 6,018.50

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Solution

The fourth proportional to 11,857.70, 17,803.02 and 6,018.50 is: 9,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.70 : 17,803.02 = 6,018.50 : x
  2. Step 2: Convert to fraction form
    11,857.70/17,803.02 = 6,018.50/x
  3. Step 3: Cross multiply
    11,857.70x = 17,803.02 × 6,018.50
  4. Step 4: Simplify right side
    11,857.70x = 107,147,475.87
  5. Step 5: Solve for x
    x = 107,147,475.87/11,857.70
  6. Step 6: Final answer
    x = 9,036.11

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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.