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Finding the Fourth Proportional to 11,530.74, 15,912.80 and 6,751.16

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Solution

The fourth proportional to 11,530.74, 15,912.80 and 6,751.16 is: 9,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.74 : 15,912.80 = 6,751.16 : x
  2. Step 2: Convert to fraction form
    11,530.74/15,912.80 = 6,751.16/x
  3. Step 3: Cross multiply
    11,530.74x = 15,912.80 × 6,751.16
  4. Step 4: Simplify right side
    11,530.74x = 107,429,745.53
  5. Step 5: Solve for x
    x = 107,429,745.53/11,530.74
  6. Step 6: Final answer
    x = 9,316.81

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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.