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Finding the Fourth Proportional to 12,508.83, 18,782.01 and 7,858.22

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Solution

The fourth proportional to 12,508.83, 18,782.01 and 7,858.22 is: 11,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.83 : 18,782.01 = 7,858.22 : x
  2. Step 2: Convert to fraction form
    12,508.83/18,782.01 = 7,858.22/x
  3. Step 3: Cross multiply
    12,508.83x = 18,782.01 × 7,858.22
  4. Step 4: Simplify right side
    12,508.83x = 147,593,072.71
  5. Step 5: Solve for x
    x = 147,593,072.71/12,508.83
  6. Step 6: Final answer
    x = 11,799.11

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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.