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Finding the Fourth Proportional to 10,651.50, 14,693.48 and 8,129.22

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Solution

The fourth proportional to 10,651.50, 14,693.48 and 8,129.22 is: 11,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.50 : 14,693.48 = 8,129.22 : x
  2. Step 2: Convert to fraction form
    10,651.50/14,693.48 = 8,129.22/x
  3. Step 3: Cross multiply
    10,651.50x = 14,693.48 × 8,129.22
  4. Step 4: Simplify right side
    10,651.50x = 119,446,466.22
  5. Step 5: Solve for x
    x = 119,446,466.22/10,651.50
  6. Step 6: Final answer
    x = 11,214.05

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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.