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Finding the Fourth Proportional to 10,996.90, 16,464.15 and 8,536.10

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Solution

The fourth proportional to 10,996.90, 16,464.15 and 8,536.10 is: 12,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.90 : 16,464.15 = 8,536.10 : x
  2. Step 2: Convert to fraction form
    10,996.90/16,464.15 = 8,536.10/x
  3. Step 3: Cross multiply
    10,996.90x = 16,464.15 × 8,536.10
  4. Step 4: Simplify right side
    10,996.90x = 140,539,630.82
  5. Step 5: Solve for x
    x = 140,539,630.82/10,996.90
  6. Step 6: Final answer
    x = 12,779.93

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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.