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Finding the Fourth Proportional to 11,666.75, 16,099.53 and 6,630.30

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Solution

The fourth proportional to 11,666.75, 16,099.53 and 6,630.30 is: 9,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.75 : 16,099.53 = 6,630.30 : x
  2. Step 2: Convert to fraction form
    11,666.75/16,099.53 = 6,630.30/x
  3. Step 3: Cross multiply
    11,666.75x = 16,099.53 × 6,630.30
  4. Step 4: Simplify right side
    11,666.75x = 106,744,774.13
  5. Step 5: Solve for x
    x = 106,744,774.13/11,666.75
  6. Step 6: Final answer
    x = 9,149.49

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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.