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Finding the Fourth Proportional to 11,600.24, 16,018.96 and 7,415.76

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Solution

The fourth proportional to 11,600.24, 16,018.96 and 7,415.76 is: 10,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.24 : 16,018.96 = 7,415.76 : x
  2. Step 2: Convert to fraction form
    11,600.24/16,018.96 = 7,415.76/x
  3. Step 3: Cross multiply
    11,600.24x = 16,018.96 × 7,415.76
  4. Step 4: Simplify right side
    11,600.24x = 118,792,762.81
  5. Step 5: Solve for x
    x = 118,792,762.81/11,600.24
  6. Step 6: Final answer
    x = 10,240.54

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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.