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Finding the Fourth Proportional to 10,666.60, 16,007.10 and 5,986.60

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Solution

The fourth proportional to 10,666.60, 16,007.10 and 5,986.60 is: 8,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.60 : 16,007.10 = 5,986.60 : x
  2. Step 2: Convert to fraction form
    10,666.60/16,007.10 = 5,986.60/x
  3. Step 3: Cross multiply
    10,666.60x = 16,007.10 × 5,986.60
  4. Step 4: Simplify right side
    10,666.60x = 95,828,104.86
  5. Step 5: Solve for x
    x = 95,828,104.86/10,666.60
  6. Step 6: Final answer
    x = 8,983.94

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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.