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Finding the Fourth Proportional to 10,668.62, 16,005.20 and 4,094.74

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Solution

The fourth proportional to 10,668.62, 16,005.20 and 4,094.74 is: 6,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.62 : 16,005.20 = 4,094.74 : x
  2. Step 2: Convert to fraction form
    10,668.62/16,005.20 = 4,094.74/x
  3. Step 3: Cross multiply
    10,668.62x = 16,005.20 × 4,094.74
  4. Step 4: Simplify right side
    10,668.62x = 65,537,132.65
  5. Step 5: Solve for x
    x = 65,537,132.65/10,668.62
  6. Step 6: Final answer
    x = 6,142.98

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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.