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Finding the Fourth Proportional to 10,811.22, 14,919.03 and 6,095.94

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Solution

The fourth proportional to 10,811.22, 14,919.03 and 6,095.94 is: 8,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.22 : 14,919.03 = 6,095.94 : x
  2. Step 2: Convert to fraction form
    10,811.22/14,919.03 = 6,095.94/x
  3. Step 3: Cross multiply
    10,811.22x = 14,919.03 × 6,095.94
  4. Step 4: Simplify right side
    10,811.22x = 90,945,511.74
  5. Step 5: Solve for x
    x = 90,945,511.74/10,811.22
  6. Step 6: Final answer
    x = 8,412.14

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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.