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Finding the Fourth Proportional to 11,666.78, 17,498.65 and 3,346.46

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Solution

The fourth proportional to 11,666.78, 17,498.65 and 3,346.46 is: 5,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.78 : 17,498.65 = 3,346.46 : x
  2. Step 2: Convert to fraction form
    11,666.78/17,498.65 = 3,346.46/x
  3. Step 3: Cross multiply
    11,666.78x = 17,498.65 × 3,346.46
  4. Step 4: Simplify right side
    11,666.78x = 58,558,532.28
  5. Step 5: Solve for x
    x = 58,558,532.28/11,666.78
  6. Step 6: Final answer
    x = 5,019.25

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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.