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Finding the Fourth Proportional to 10,223.99, 14,109.18 and 5,747.75

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Solution

The fourth proportional to 10,223.99, 14,109.18 and 5,747.75 is: 7,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.99 : 14,109.18 = 5,747.75 : x
  2. Step 2: Convert to fraction form
    10,223.99/14,109.18 = 5,747.75/x
  3. Step 3: Cross multiply
    10,223.99x = 14,109.18 × 5,747.75
  4. Step 4: Simplify right side
    10,223.99x = 81,096,039.35
  5. Step 5: Solve for x
    x = 81,096,039.35/10,223.99
  6. Step 6: Final answer
    x = 7,931.94

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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.