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Finding the Fourth Proportional to 10,968.79, 15,136.93 and 6,189.75

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Solution

The fourth proportional to 10,968.79, 15,136.93 and 6,189.75 is: 8,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.79 : 15,136.93 = 6,189.75 : x
  2. Step 2: Convert to fraction form
    10,968.79/15,136.93 = 6,189.75/x
  3. Step 3: Cross multiply
    10,968.79x = 15,136.93 × 6,189.75
  4. Step 4: Simplify right side
    10,968.79x = 93,693,763.44
  5. Step 5: Solve for x
    x = 93,693,763.44/10,968.79
  6. Step 6: Final answer
    x = 8,541.85

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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.