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Finding the Fourth Proportional to 10,452.23, 14,423.42 and 5,736.47

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Solution

The fourth proportional to 10,452.23, 14,423.42 and 5,736.47 is: 7,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.23 : 14,423.42 = 5,736.47 : x
  2. Step 2: Convert to fraction form
    10,452.23/14,423.42 = 5,736.47/x
  3. Step 3: Cross multiply
    10,452.23x = 14,423.42 × 5,736.47
  4. Step 4: Simplify right side
    10,452.23x = 82,739,566.53
  5. Step 5: Solve for x
    x = 82,739,566.53/10,452.23
  6. Step 6: Final answer
    x = 7,915.98

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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.