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Finding the Fourth Proportional to 11,783.98, 16,262.31 and 6,479.20

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Solution

The fourth proportional to 11,783.98, 16,262.31 and 6,479.20 is: 8,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.98 : 16,262.31 = 6,479.20 : x
  2. Step 2: Convert to fraction form
    11,783.98/16,262.31 = 6,479.20/x
  3. Step 3: Cross multiply
    11,783.98x = 16,262.31 × 6,479.20
  4. Step 4: Simplify right side
    11,783.98x = 105,366,758.95
  5. Step 5: Solve for x
    x = 105,366,758.95/11,783.98
  6. Step 6: Final answer
    x = 8,941.53

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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.