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Finding the Fourth Proportional to 11,700.31, 17,528.26 and 6,946.43

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Solution

The fourth proportional to 11,700.31, 17,528.26 and 6,946.43 is: 10,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.31 : 17,528.26 = 6,946.43 : x
  2. Step 2: Convert to fraction form
    11,700.31/17,528.26 = 6,946.43/x
  3. Step 3: Cross multiply
    11,700.31x = 17,528.26 × 6,946.43
  4. Step 4: Simplify right side
    11,700.31x = 121,758,867.49
  5. Step 5: Solve for x
    x = 121,758,867.49/11,700.31
  6. Step 6: Final answer
    x = 10,406.47

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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.