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Finding the Fourth Proportional to 11,668.98, 17,506.95 and 5,432.68

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Solution

The fourth proportional to 11,668.98, 17,506.95 and 5,432.68 is: 8,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.98 : 17,506.95 = 5,432.68 : x
  2. Step 2: Convert to fraction form
    11,668.98/17,506.95 = 5,432.68/x
  3. Step 3: Cross multiply
    11,668.98x = 17,506.95 × 5,432.68
  4. Step 4: Simplify right side
    11,668.98x = 95,109,657.13
  5. Step 5: Solve for x
    x = 95,109,657.13/11,668.98
  6. Step 6: Final answer
    x = 8,150.64

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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.