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Finding the Fourth Proportional to 11,629.98, 16,049.67 and 6,594.01

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Solution

The fourth proportional to 11,629.98, 16,049.67 and 6,594.01 is: 9,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.98 : 16,049.67 = 6,594.01 : x
  2. Step 2: Convert to fraction form
    11,629.98/16,049.67 = 6,594.01/x
  3. Step 3: Cross multiply
    11,629.98x = 16,049.67 × 6,594.01
  4. Step 4: Simplify right side
    11,629.98x = 105,831,638.17
  5. Step 5: Solve for x
    x = 105,831,638.17/11,629.98
  6. Step 6: Final answer
    x = 9,099.90

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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.