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Finding the Fourth Proportional to 11,498.42, 15,867.37 and 6,462.86

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Solution

The fourth proportional to 11,498.42, 15,867.37 and 6,462.86 is: 8,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.42 : 15,867.37 = 6,462.86 : x
  2. Step 2: Convert to fraction form
    11,498.42/15,867.37 = 6,462.86/x
  3. Step 3: Cross multiply
    11,498.42x = 15,867.37 × 6,462.86
  4. Step 4: Simplify right side
    11,498.42x = 102,548,590.88
  5. Step 5: Solve for x
    x = 102,548,590.88/11,498.42
  6. Step 6: Final answer
    x = 8,918.49

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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.