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Finding the Fourth Proportional to 10,223.03, 14,103.79 and 5,745.76

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Solution

The fourth proportional to 10,223.03, 14,103.79 and 5,745.76 is: 7,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.03 : 14,103.79 = 5,745.76 : x
  2. Step 2: Convert to fraction form
    10,223.03/14,103.79 = 5,745.76/x
  3. Step 3: Cross multiply
    10,223.03x = 14,103.79 × 5,745.76
  4. Step 4: Simplify right side
    10,223.03x = 81,036,942.81
  5. Step 5: Solve for x
    x = 81,036,942.81/10,223.03
  6. Step 6: Final answer
    x = 7,926.90

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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.