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Finding the Fourth Proportional to 11,801.98, 16,282.10 and 6,763.50

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Solution

The fourth proportional to 11,801.98, 16,282.10 and 6,763.50 is: 9,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.98 : 16,282.10 = 6,763.50 : x
  2. Step 2: Convert to fraction form
    11,801.98/16,282.10 = 6,763.50/x
  3. Step 3: Cross multiply
    11,801.98x = 16,282.10 × 6,763.50
  4. Step 4: Simplify right side
    11,801.98x = 110,123,983.35
  5. Step 5: Solve for x
    x = 110,123,983.35/11,801.98
  6. Step 6: Final answer
    x = 9,330.98

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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.