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Finding the Fourth Proportional to 11,436, 15,782.64 and 6,468.96

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Solution

The fourth proportional to 11,436, 15,782.64 and 6,468.96 is: 8,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436 : 15,782.64 = 6,468.96 : x
  2. Step 2: Convert to fraction form
    11,436/15,782.64 = 6,468.96/x
  3. Step 3: Cross multiply
    11,436x = 15,782.64 × 6,468.96
  4. Step 4: Simplify right side
    11,436x = 102,097,266.85
  5. Step 5: Solve for x
    x = 102,097,266.85/11,436
  6. Step 6: Final answer
    x = 8,927.71

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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.