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Finding the Fourth Proportional to 11,851.66, 16,350.19 and 6,814.72

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Solution

The fourth proportional to 11,851.66, 16,350.19 and 6,814.72 is: 9,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.66 : 16,350.19 = 6,814.72 : x
  2. Step 2: Convert to fraction form
    11,851.66/16,350.19 = 6,814.72/x
  3. Step 3: Cross multiply
    11,851.66x = 16,350.19 × 6,814.72
  4. Step 4: Simplify right side
    11,851.66x = 111,421,966.80
  5. Step 5: Solve for x
    x = 111,421,966.80/11,851.66
  6. Step 6: Final answer
    x = 9,401.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.