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Finding the Fourth Proportional to 8,223.36, 11,349.08 and 5,038.80

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Solution

The fourth proportional to 8,223.36, 11,349.08 and 5,038.80 is: 6,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.36 : 11,349.08 = 5,038.80 : x
  2. Step 2: Convert to fraction form
    8,223.36/11,349.08 = 5,038.80/x
  3. Step 3: Cross multiply
    8,223.36x = 11,349.08 × 5,038.80
  4. Step 4: Simplify right side
    8,223.36x = 57,185,744.30
  5. Step 5: Solve for x
    x = 57,185,744.30/8,223.36
  6. Step 6: Final answer
    x = 6,954.06

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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.