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Finding the Fourth Proportional to 11,783.46, 17,672.46 and 5,206.06

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Solution

The fourth proportional to 11,783.46, 17,672.46 and 5,206.06 is: 7,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.46 : 17,672.46 = 5,206.06 : x
  2. Step 2: Convert to fraction form
    11,783.46/17,672.46 = 5,206.06/x
  3. Step 3: Cross multiply
    11,783.46x = 17,672.46 × 5,206.06
  4. Step 4: Simplify right side
    11,783.46x = 92,003,887.11
  5. Step 5: Solve for x
    x = 92,003,887.11/11,783.46
  6. Step 6: Final answer
    x = 7,807.88

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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.