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Finding the Fourth Proportional to 11,013.94, 15,178.25 and 10,811.50

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Solution

The fourth proportional to 11,013.94, 15,178.25 and 10,811.50 is: 14,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.94 : 15,178.25 = 10,811.50 : x
  2. Step 2: Convert to fraction form
    11,013.94/15,178.25 = 10,811.50/x
  3. Step 3: Cross multiply
    11,013.94x = 15,178.25 × 10,811.50
  4. Step 4: Simplify right side
    11,013.94x = 164,099,649.88
  5. Step 5: Solve for x
    x = 164,099,649.88/11,013.94
  6. Step 6: Final answer
    x = 14,899.27

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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.