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Finding the Fourth Proportional to 8,211.99, 11,326.48 and 5,660.57

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Solution

The fourth proportional to 8,211.99, 11,326.48 and 5,660.57 is: 7,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.99 : 11,326.48 = 5,660.57 : x
  2. Step 2: Convert to fraction form
    8,211.99/11,326.48 = 5,660.57/x
  3. Step 3: Cross multiply
    8,211.99x = 11,326.48 × 5,660.57
  4. Step 4: Simplify right side
    8,211.99x = 64,114,354.02
  5. Step 5: Solve for x
    x = 64,114,354.02/8,211.99
  6. Step 6: Final answer
    x = 7,807.41

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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.