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Finding the Fourth Proportional to 10,851.52, 14,975.74 and 6,136.24

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Solution

The fourth proportional to 10,851.52, 14,975.74 and 6,136.24 is: 8,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.52 : 14,975.74 = 6,136.24 : x
  2. Step 2: Convert to fraction form
    10,851.52/14,975.74 = 6,136.24/x
  3. Step 3: Cross multiply
    10,851.52x = 14,975.74 × 6,136.24
  4. Step 4: Simplify right side
    10,851.52x = 91,894,734.82
  5. Step 5: Solve for x
    x = 91,894,734.82/10,851.52
  6. Step 6: Final answer
    x = 8,468.37

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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.