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Finding the Fourth Proportional to 11,904.96, 16,441.68 and 9,283.68

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Solution

The fourth proportional to 11,904.96, 16,441.68 and 9,283.68 is: 12,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.96 : 16,441.68 = 9,283.68 : x
  2. Step 2: Convert to fraction form
    11,904.96/16,441.68 = 9,283.68/x
  3. Step 3: Cross multiply
    11,904.96x = 16,441.68 × 9,283.68
  4. Step 4: Simplify right side
    11,904.96x = 152,639,295.78
  5. Step 5: Solve for x
    x = 152,639,295.78/11,904.96
  6. Step 6: Final answer
    x = 12,821.49

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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.