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Finding the Fourth Proportional to 11,606.49, 17,407.13 and 3,284.28

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Solution

The fourth proportional to 11,606.49, 17,407.13 and 3,284.28 is: 4,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.49 : 17,407.13 = 3,284.28 : x
  2. Step 2: Convert to fraction form
    11,606.49/17,407.13 = 3,284.28/x
  3. Step 3: Cross multiply
    11,606.49x = 17,407.13 × 3,284.28
  4. Step 4: Simplify right side
    11,606.49x = 57,169,872.50
  5. Step 5: Solve for x
    x = 57,169,872.50/11,606.49
  6. Step 6: Final answer
    x = 4,925.68

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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.