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Finding the Fourth Proportional to 10,998.90, 16,467.15 and 8,538.10

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Solution

The fourth proportional to 10,998.90, 16,467.15 and 8,538.10 is: 12,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.90 : 16,467.15 = 8,538.10 : x
  2. Step 2: Convert to fraction form
    10,998.90/16,467.15 = 8,538.10/x
  3. Step 3: Cross multiply
    10,998.90x = 16,467.15 × 8,538.10
  4. Step 4: Simplify right side
    10,998.90x = 140,598,173.42
  5. Step 5: Solve for x
    x = 140,598,173.42/10,998.90
  6. Step 6: Final answer
    x = 12,782.93

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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.