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Finding the Fourth Proportional to 10,381.91, 14,327.08 and 5,666.22

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Solution

The fourth proportional to 10,381.91, 14,327.08 and 5,666.22 is: 7,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.91 : 14,327.08 = 5,666.22 : x
  2. Step 2: Convert to fraction form
    10,381.91/14,327.08 = 5,666.22/x
  3. Step 3: Cross multiply
    10,381.91x = 14,327.08 × 5,666.22
  4. Step 4: Simplify right side
    10,381.91x = 81,180,373.07
  5. Step 5: Solve for x
    x = 81,180,373.07/10,381.91
  6. Step 6: Final answer
    x = 7,819.41

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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.