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Finding the Fourth Proportional to 10,859.13, 16,291.09 and 6,181.35

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Solution

The fourth proportional to 10,859.13, 16,291.09 and 6,181.35 is: 9,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.13 : 16,291.09 = 6,181.35 : x
  2. Step 2: Convert to fraction form
    10,859.13/16,291.09 = 6,181.35/x
  3. Step 3: Cross multiply
    10,859.13x = 16,291.09 × 6,181.35
  4. Step 4: Simplify right side
    10,859.13x = 100,700,929.17
  5. Step 5: Solve for x
    x = 100,700,929.17/10,859.13
  6. Step 6: Final answer
    x = 9,273.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.