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Finding the Fourth Proportional to 7,743.96, 11,615.93 and 1,900.51

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Solution

The fourth proportional to 7,743.96, 11,615.93 and 1,900.51 is: 2,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.96 : 11,615.93 = 1,900.51 : x
  2. Step 2: Convert to fraction form
    7,743.96/11,615.93 = 1,900.51/x
  3. Step 3: Cross multiply
    7,743.96x = 11,615.93 × 1,900.51
  4. Step 4: Simplify right side
    7,743.96x = 22,076,191.12
  5. Step 5: Solve for x
    x = 22,076,191.12/7,743.96
  6. Step 6: Final answer
    x = 2,850.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.