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Finding the Fourth Proportional to 11,232, 16,847.93 and 2,912.00

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Solution

The fourth proportional to 11,232, 16,847.93 and 2,912.00 is: 4,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232 : 16,847.93 = 2,912.00 : x
  2. Step 2: Convert to fraction form
    11,232/16,847.93 = 2,912.00/x
  3. Step 3: Cross multiply
    11,232x = 16,847.93 × 2,912.00
  4. Step 4: Simplify right side
    11,232x = 49,061,095.20
  5. Step 5: Solve for x
    x = 49,061,095.20/11,232
  6. Step 6: Final answer
    x = 4,367.98

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Why These Related Problems?

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