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Finding the Fourth Proportional to 7,786.91, 10,741.14 and 5,549.51

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Solution

The fourth proportional to 7,786.91, 10,741.14 and 5,549.51 is: 7,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.91 : 10,741.14 = 5,549.51 : x
  2. Step 2: Convert to fraction form
    7,786.91/10,741.14 = 5,549.51/x
  3. Step 3: Cross multiply
    7,786.91x = 10,741.14 × 5,549.51
  4. Step 4: Simplify right side
    7,786.91x = 59,608,090.69
  5. Step 5: Solve for x
    x = 59,608,090.69/7,786.91
  6. Step 6: Final answer
    x = 7,654.91

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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.