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Finding the Fourth Proportional to 11,205.20, 16,807.80 and 4,644.20

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Solution

The fourth proportional to 11,205.20, 16,807.80 and 4,644.20 is: 6,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.20 : 16,807.80 = 4,644.20 : x
  2. Step 2: Convert to fraction form
    11,205.20/16,807.80 = 4,644.20/x
  3. Step 3: Cross multiply
    11,205.20x = 16,807.80 × 4,644.20
  4. Step 4: Simplify right side
    11,205.20x = 78,058,784.76
  5. Step 5: Solve for x
    x = 78,058,784.76/11,205.20
  6. Step 6: Final answer
    x = 6,966.30

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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.