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Finding the Fourth Proportional to 11,756.36, 16,223.22 and 6,451.07

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Solution

The fourth proportional to 11,756.36, 16,223.22 and 6,451.07 is: 8,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.36 : 16,223.22 = 6,451.07 : x
  2. Step 2: Convert to fraction form
    11,756.36/16,223.22 = 6,451.07/x
  3. Step 3: Cross multiply
    11,756.36x = 16,223.22 × 6,451.07
  4. Step 4: Simplify right side
    11,756.36x = 104,657,046.73
  5. Step 5: Solve for x
    x = 104,657,046.73/11,756.36
  6. Step 6: Final answer
    x = 8,902.16

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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.