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Finding the Fourth Proportional to 8,223.71, 11,349.54 and 5,039.07

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Solution

The fourth proportional to 8,223.71, 11,349.54 and 5,039.07 is: 6,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.71 : 11,349.54 = 5,039.07 : x
  2. Step 2: Convert to fraction form
    8,223.71/11,349.54 = 5,039.07/x
  3. Step 3: Cross multiply
    8,223.71x = 11,349.54 × 5,039.07
  4. Step 4: Simplify right side
    8,223.71x = 57,191,126.53
  5. Step 5: Solve for x
    x = 57,191,126.53/8,223.71
  6. Step 6: Final answer
    x = 6,954.42

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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.