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Finding the Fourth Proportional to 10,357.36, 14,196.37 and 9,983.29

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Solution

The fourth proportional to 10,357.36, 14,196.37 and 9,983.29 is: 13,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.36 : 14,196.37 = 9,983.29 : x
  2. Step 2: Convert to fraction form
    10,357.36/14,196.37 = 9,983.29/x
  3. Step 3: Cross multiply
    10,357.36x = 14,196.37 × 9,983.29
  4. Step 4: Simplify right side
    10,357.36x = 141,726,478.66
  5. Step 5: Solve for x
    x = 141,726,478.66/10,357.36
  6. Step 6: Final answer
    x = 13,683.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.