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Finding the Fourth Proportional to 10,026.95, 13,837.89 and 6,047.82

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Solution

The fourth proportional to 10,026.95, 13,837.89 and 6,047.82 is: 8,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.95 : 13,837.89 = 6,047.82 : x
  2. Step 2: Convert to fraction form
    10,026.95/13,837.89 = 6,047.82/x
  3. Step 3: Cross multiply
    10,026.95x = 13,837.89 × 6,047.82
  4. Step 4: Simplify right side
    10,026.95x = 83,689,067.90
  5. Step 5: Solve for x
    x = 83,689,067.90/10,026.95
  6. Step 6: Final answer
    x = 8,346.42

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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.