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Finding the Fourth Proportional to 11,498.40, 15,866.82 and 6,462.23

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Solution

The fourth proportional to 11,498.40, 15,866.82 and 6,462.23 is: 8,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.40 : 15,866.82 = 6,462.23 : x
  2. Step 2: Convert to fraction form
    11,498.40/15,866.82 = 6,462.23/x
  3. Step 3: Cross multiply
    11,498.40x = 15,866.82 × 6,462.23
  4. Step 4: Simplify right side
    11,498.40x = 102,534,960.87
  5. Step 5: Solve for x
    x = 102,534,960.87/11,498.40
  6. Step 6: Final answer
    x = 8,917.32

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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.