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Finding the Fourth Proportional to 11,338.66, 15,642.30 and 6,620.86

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Solution

The fourth proportional to 11,338.66, 15,642.30 and 6,620.86 is: 9,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.66 : 15,642.30 = 6,620.86 : x
  2. Step 2: Convert to fraction form
    11,338.66/15,642.30 = 6,620.86/x
  3. Step 3: Cross multiply
    11,338.66x = 15,642.30 × 6,620.86
  4. Step 4: Simplify right side
    11,338.66x = 103,565,478.38
  5. Step 5: Solve for x
    x = 103,565,478.38/11,338.66
  6. Step 6: Final answer
    x = 9,133.84

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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.