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Finding the Fourth Proportional to 11,318.48, 16,963.74 and 8,209.16

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Solution

The fourth proportional to 11,318.48, 16,963.74 and 8,209.16 is: 12,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.48 : 16,963.74 = 8,209.16 : x
  2. Step 2: Convert to fraction form
    11,318.48/16,963.74 = 8,209.16/x
  3. Step 3: Cross multiply
    11,318.48x = 16,963.74 × 8,209.16
  4. Step 4: Simplify right side
    11,318.48x = 139,258,055.86
  5. Step 5: Solve for x
    x = 139,258,055.86/11,318.48
  6. Step 6: Final answer
    x = 12,303.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.