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Finding the Fourth Proportional to 10,805.50, 14,911.68 and 6,089.86

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Solution

The fourth proportional to 10,805.50, 14,911.68 and 6,089.86 is: 8,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.50 : 14,911.68 = 6,089.86 : x
  2. Step 2: Convert to fraction form
    10,805.50/14,911.68 = 6,089.86/x
  3. Step 3: Cross multiply
    10,805.50x = 14,911.68 × 6,089.86
  4. Step 4: Simplify right side
    10,805.50x = 90,810,043.56
  5. Step 5: Solve for x
    x = 90,810,043.56/10,805.50
  6. Step 6: Final answer
    x = 8,404.06

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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.