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Finding the Fourth Proportional to 11,833.98, 16,327.98 and 7,233.60

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Solution

The fourth proportional to 11,833.98, 16,327.98 and 7,233.60 is: 9,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.98 : 16,327.98 = 7,233.60 : x
  2. Step 2: Convert to fraction form
    11,833.98/16,327.98 = 7,233.60/x
  3. Step 3: Cross multiply
    11,833.98x = 16,327.98 × 7,233.60
  4. Step 4: Simplify right side
    11,833.98x = 118,109,994.49
  5. Step 5: Solve for x
    x = 118,109,994.49/11,833.98
  6. Step 6: Final answer
    x = 9,980.58

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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.