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Finding the Fourth Proportional to 10,307.22, 14,224.02 and 5,591.58

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Solution

The fourth proportional to 10,307.22, 14,224.02 and 5,591.58 is: 7,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.22 : 14,224.02 = 5,591.58 : x
  2. Step 2: Convert to fraction form
    10,307.22/14,224.02 = 5,591.58/x
  3. Step 3: Cross multiply
    10,307.22x = 14,224.02 × 5,591.58
  4. Step 4: Simplify right side
    10,307.22x = 79,534,745.75
  5. Step 5: Solve for x
    x = 79,534,745.75/10,307.22
  6. Step 6: Final answer
    x = 7,716.41

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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.