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Finding the Fourth Proportional to 11,429.39, 15,772.14 and 6,649.71

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Solution

The fourth proportional to 11,429.39, 15,772.14 and 6,649.71 is: 9,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.39 : 15,772.14 = 6,649.71 : x
  2. Step 2: Convert to fraction form
    11,429.39/15,772.14 = 6,649.71/x
  3. Step 3: Cross multiply
    11,429.39x = 15,772.14 × 6,649.71
  4. Step 4: Simplify right side
    11,429.39x = 104,880,157.08
  5. Step 5: Solve for x
    x = 104,880,157.08/11,429.39
  6. Step 6: Final answer
    x = 9,176.36

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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.