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Finding the Fourth Proportional to 8,068.20, 11,136.84 and 5,089

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Solution

The fourth proportional to 8,068.20, 11,136.84 and 5,089 is: 7,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.20 : 11,136.84 = 5,089 : x
  2. Step 2: Convert to fraction form
    8,068.20/11,136.84 = 5,089/x
  3. Step 3: Cross multiply
    8,068.20x = 11,136.84 × 5,089
  4. Step 4: Simplify right side
    8,068.20x = 56,675,378.76
  5. Step 5: Solve for x
    x = 56,675,378.76/8,068.20
  6. Step 6: Final answer
    x = 7,024.54

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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.