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Finding the Fourth Proportional to 11,903.65, 16,415.70 and 7,122.82

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Solution

The fourth proportional to 11,903.65, 16,415.70 and 7,122.82 is: 9,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.65 : 16,415.70 = 7,122.82 : x
  2. Step 2: Convert to fraction form
    11,903.65/16,415.70 = 7,122.82/x
  3. Step 3: Cross multiply
    11,903.65x = 16,415.70 × 7,122.82
  4. Step 4: Simplify right side
    11,903.65x = 116,926,076.27
  5. Step 5: Solve for x
    x = 116,926,076.27/11,903.65
  6. Step 6: Final answer
    x = 9,822.71

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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.