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Finding the Fourth Proportional to 11,192.95, 16,783.26 and 4,617.64

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Solution

The fourth proportional to 11,192.95, 16,783.26 and 4,617.64 is: 6,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.95 : 16,783.26 = 4,617.64 : x
  2. Step 2: Convert to fraction form
    11,192.95/16,783.26 = 4,617.64/x
  3. Step 3: Cross multiply
    11,192.95x = 16,783.26 × 4,617.64
  4. Step 4: Simplify right side
    11,192.95x = 77,499,052.71
  5. Step 5: Solve for x
    x = 77,499,052.71/11,192.95
  6. Step 6: Final answer
    x = 6,923.92

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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.