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Finding the Fourth Proportional to 10,969.24, 15,136.62 and 6,492.20

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Solution

The fourth proportional to 10,969.24, 15,136.62 and 6,492.20 is: 8,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.24 : 15,136.62 = 6,492.20 : x
  2. Step 2: Convert to fraction form
    10,969.24/15,136.62 = 6,492.20/x
  3. Step 3: Cross multiply
    10,969.24x = 15,136.62 × 6,492.20
  4. Step 4: Simplify right side
    10,969.24x = 98,269,964.36
  5. Step 5: Solve for x
    x = 98,269,964.36/10,969.24
  6. Step 6: Final answer
    x = 8,958.68

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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.