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Finding the Fourth Proportional to 11,424.74, 15,771.26 and 6,709.32

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Solution

The fourth proportional to 11,424.74, 15,771.26 and 6,709.32 is: 9,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.74 : 15,771.26 = 6,709.32 : x
  2. Step 2: Convert to fraction form
    11,424.74/15,771.26 = 6,709.32/x
  3. Step 3: Cross multiply
    11,424.74x = 15,771.26 × 6,709.32
  4. Step 4: Simplify right side
    11,424.74x = 105,814,396.60
  5. Step 5: Solve for x
    x = 105,814,396.60/11,424.74
  6. Step 6: Final answer
    x = 9,261.87

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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.