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Finding the Fourth Proportional to 11,738.51, 16,199.61 and 6,433.51

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Solution

The fourth proportional to 11,738.51, 16,199.61 and 6,433.51 is: 8,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.51 : 16,199.61 = 6,433.51 : x
  2. Step 2: Convert to fraction form
    11,738.51/16,199.61 = 6,433.51/x
  3. Step 3: Cross multiply
    11,738.51x = 16,199.61 × 6,433.51
  4. Step 4: Simplify right side
    11,738.51x = 104,220,352.93
  5. Step 5: Solve for x
    x = 104,220,352.93/11,738.51
  6. Step 6: Final answer
    x = 8,878.50

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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.