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Finding the Fourth Proportional to 11,650.56, 16,071.48 and 7,393.92

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Solution

The fourth proportional to 11,650.56, 16,071.48 and 7,393.92 is: 10,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.56 : 16,071.48 = 7,393.92 : x
  2. Step 2: Convert to fraction form
    11,650.56/16,071.48 = 7,393.92/x
  3. Step 3: Cross multiply
    11,650.56x = 16,071.48 × 7,393.92
  4. Step 4: Simplify right side
    11,650.56x = 118,831,237.40
  5. Step 5: Solve for x
    x = 118,831,237.40/11,650.56
  6. Step 6: Final answer
    x = 10,199.62

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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.