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Finding the Fourth Proportional to 10,969.23, 15,136.23 and 6,188.89

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Solution

The fourth proportional to 10,969.23, 15,136.23 and 6,188.89 is: 8,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.23 : 15,136.23 = 6,188.89 : x
  2. Step 2: Convert to fraction form
    10,969.23/15,136.23 = 6,188.89/x
  3. Step 3: Cross multiply
    10,969.23x = 15,136.23 × 6,188.89
  4. Step 4: Simplify right side
    10,969.23x = 93,676,504.61
  5. Step 5: Solve for x
    x = 93,676,504.61/10,969.23
  6. Step 6: Final answer
    x = 8,539.94

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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.