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Finding the Fourth Proportional to 8,580.30, 11,840.94 and 5,223.26

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Solution

The fourth proportional to 8,580.30, 11,840.94 and 5,223.26 is: 7,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.30 : 11,840.94 = 5,223.26 : x
  2. Step 2: Convert to fraction form
    8,580.30/11,840.94 = 5,223.26/x
  3. Step 3: Cross multiply
    8,580.30x = 11,840.94 × 5,223.26
  4. Step 4: Simplify right side
    8,580.30x = 61,848,249.06
  5. Step 5: Solve for x
    x = 61,848,249.06/8,580.30
  6. Step 6: Final answer
    x = 7,208.17

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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.