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Finding the Fourth Proportional to 8,233.84, 11,365.40 and 6,558.32

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Solution

The fourth proportional to 8,233.84, 11,365.40 and 6,558.32 is: 9,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.84 : 11,365.40 = 6,558.32 : x
  2. Step 2: Convert to fraction form
    8,233.84/11,365.40 = 6,558.32/x
  3. Step 3: Cross multiply
    8,233.84x = 11,365.40 × 6,558.32
  4. Step 4: Simplify right side
    8,233.84x = 74,537,930.13
  5. Step 5: Solve for x
    x = 74,537,930.13/8,233.84
  6. Step 6: Final answer
    x = 9,052.63

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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.