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Finding the Fourth Proportional to 11,336.80, 15,642.37 and 6,859.66

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Solution

The fourth proportional to 11,336.80, 15,642.37 and 6,859.66 is: 9,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,336.80 : 15,642.37 = 6,859.66 : x
  2. Step 2: Convert to fraction form
    11,336.80/15,642.37 = 6,859.66/x
  3. Step 3: Cross multiply
    11,336.80x = 15,642.37 × 6,859.66
  4. Step 4: Simplify right side
    11,336.80x = 107,301,339.79
  5. Step 5: Solve for x
    x = 107,301,339.79/11,336.80
  6. Step 6: Final answer
    x = 9,464.87

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