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Finding the Fourth Proportional to 12,511.20, 18,763.02 and 6,584.88

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Solution

The fourth proportional to 12,511.20, 18,763.02 and 6,584.88 is: 9,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.20 : 18,763.02 = 6,584.88 : x
  2. Step 2: Convert to fraction form
    12,511.20/18,763.02 = 6,584.88/x
  3. Step 3: Cross multiply
    12,511.20x = 18,763.02 × 6,584.88
  4. Step 4: Simplify right side
    12,511.20x = 123,552,235.14
  5. Step 5: Solve for x
    x = 123,552,235.14/12,511.20
  6. Step 6: Final answer
    x = 9,875.33

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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.