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Finding the Fourth Proportional to 10,468.66, 14,434.97 and 8,073.22

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Solution

The fourth proportional to 10,468.66, 14,434.97 and 8,073.22 is: 11,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.66 : 14,434.97 = 8,073.22 : x
  2. Step 2: Convert to fraction form
    10,468.66/14,434.97 = 8,073.22/x
  3. Step 3: Cross multiply
    10,468.66x = 14,434.97 × 8,073.22
  4. Step 4: Simplify right side
    10,468.66x = 116,536,688.50
  5. Step 5: Solve for x
    x = 116,536,688.50/10,468.66
  6. Step 6: Final answer
    x = 11,131.96

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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.