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Finding the Fourth Proportional to 10,909.36, 15,055.82 and 6,433.98

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Solution

The fourth proportional to 10,909.36, 15,055.82 and 6,433.98 is: 8,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.36 : 15,055.82 = 6,433.98 : x
  2. Step 2: Convert to fraction form
    10,909.36/15,055.82 = 6,433.98/x
  3. Step 3: Cross multiply
    10,909.36x = 15,055.82 × 6,433.98
  4. Step 4: Simplify right side
    10,909.36x = 96,868,844.76
  5. Step 5: Solve for x
    x = 96,868,844.76/10,909.36
  6. Step 6: Final answer
    x = 8,879.43

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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.