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Finding the Fourth Proportional to 10,805.82, 14,911.46 and 6,026.26

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Solution

The fourth proportional to 10,805.82, 14,911.46 and 6,026.26 is: 8,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.82 : 14,911.46 = 6,026.26 : x
  2. Step 2: Convert to fraction form
    10,805.82/14,911.46 = 6,026.26/x
  3. Step 3: Cross multiply
    10,805.82x = 14,911.46 × 6,026.26
  4. Step 4: Simplify right side
    10,805.82x = 89,860,237.78
  5. Step 5: Solve for x
    x = 89,860,237.78/10,805.82
  6. Step 6: Final answer
    x = 8,315.91

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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.