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Finding the Fourth Proportional to 8,147.68, 11,237.98 and 7,477.64

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Solution

The fourth proportional to 8,147.68, 11,237.98 and 7,477.64 is: 10,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.68 : 11,237.98 = 7,477.64 : x
  2. Step 2: Convert to fraction form
    8,147.68/11,237.98 = 7,477.64/x
  3. Step 3: Cross multiply
    8,147.68x = 11,237.98 × 7,477.64
  4. Step 4: Simplify right side
    8,147.68x = 84,033,559.37
  5. Step 5: Solve for x
    x = 84,033,559.37/8,147.68
  6. Step 6: Final answer
    x = 10,313.81

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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.