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Finding the Fourth Proportional to 12,359.66, 17,057.38 and 6,983.08

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Solution

The fourth proportional to 12,359.66, 17,057.38 and 6,983.08 is: 9,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.66 : 17,057.38 = 6,983.08 : x
  2. Step 2: Convert to fraction form
    12,359.66/17,057.38 = 6,983.08/x
  3. Step 3: Cross multiply
    12,359.66x = 17,057.38 × 6,983.08
  4. Step 4: Simplify right side
    12,359.66x = 119,113,105.15
  5. Step 5: Solve for x
    x = 119,113,105.15/12,359.66
  6. Step 6: Final answer
    x = 9,637.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.