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Finding the Fourth Proportional to 11,749.53, 16,204.66 and 7,269.01

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Solution

The fourth proportional to 11,749.53, 16,204.66 and 7,269.01 is: 10,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.53 : 16,204.66 = 7,269.01 : x
  2. Step 2: Convert to fraction form
    11,749.53/16,204.66 = 7,269.01/x
  3. Step 3: Cross multiply
    11,749.53x = 16,204.66 × 7,269.01
  4. Step 4: Simplify right side
    11,749.53x = 117,791,835.59
  5. Step 5: Solve for x
    x = 117,791,835.59/11,749.53
  6. Step 6: Final answer
    x = 10,025.24

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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.