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Finding the Fourth Proportional to 11,903.62, 16,415.67 and 7,122.81

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Solution

The fourth proportional to 11,903.62, 16,415.67 and 7,122.81 is: 9,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.62 : 16,415.67 = 7,122.81 : x
  2. Step 2: Convert to fraction form
    11,903.62/16,415.67 = 7,122.81/x
  3. Step 3: Cross multiply
    11,903.62x = 16,415.67 × 7,122.81
  4. Step 4: Simplify right side
    11,903.62x = 116,925,698.43
  5. Step 5: Solve for x
    x = 116,925,698.43/11,903.62
  6. Step 6: Final answer
    x = 9,822.70

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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.