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Finding the Fourth Proportional to 7,744.96, 10,682.64 and 5,091.52

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Solution

The fourth proportional to 7,744.96, 10,682.64 and 5,091.52 is: 7,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.96 : 10,682.64 = 5,091.52 : x
  2. Step 2: Convert to fraction form
    7,744.96/10,682.64 = 5,091.52/x
  3. Step 3: Cross multiply
    7,744.96x = 10,682.64 × 5,091.52
  4. Step 4: Simplify right side
    7,744.96x = 54,390,875.21
  5. Step 5: Solve for x
    x = 54,390,875.21/7,744.96
  6. Step 6: Final answer
    x = 7,022.74

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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.