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Finding the Fourth Proportional to 10,000.20, 13,789.80 and 6,641.88

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Solution

The fourth proportional to 10,000.20, 13,789.80 and 6,641.88 is: 9,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.20 : 13,789.80 = 6,641.88 : x
  2. Step 2: Convert to fraction form
    10,000.20/13,789.80 = 6,641.88/x
  3. Step 3: Cross multiply
    10,000.20x = 13,789.80 × 6,641.88
  4. Step 4: Simplify right side
    10,000.20x = 91,590,196.82
  5. Step 5: Solve for x
    x = 91,590,196.82/10,000.20
  6. Step 6: Final answer
    x = 9,158.84

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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.