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Finding the Fourth Proportional to 11,784.96, 16,263.28 and 6,480.32

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Solution

The fourth proportional to 11,784.96, 16,263.28 and 6,480.32 is: 8,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.96 : 16,263.28 = 6,480.32 : x
  2. Step 2: Convert to fraction form
    11,784.96/16,263.28 = 6,480.32/x
  3. Step 3: Cross multiply
    11,784.96x = 16,263.28 × 6,480.32
  4. Step 4: Simplify right side
    11,784.96x = 105,391,258.65
  5. Step 5: Solve for x
    x = 105,391,258.65/11,784.96
  6. Step 6: Final answer
    x = 8,942.86

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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.