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Finding the Fourth Proportional to 8,506.14, 11,741.36 and 5,278.42

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Solution

The fourth proportional to 8,506.14, 11,741.36 and 5,278.42 is: 7,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.14 : 11,741.36 = 5,278.42 : x
  2. Step 2: Convert to fraction form
    8,506.14/11,741.36 = 5,278.42/x
  3. Step 3: Cross multiply
    8,506.14x = 11,741.36 × 5,278.42
  4. Step 4: Simplify right side
    8,506.14x = 61,975,829.45
  5. Step 5: Solve for x
    x = 61,975,829.45/8,506.14
  6. Step 6: Final answer
    x = 7,286.01

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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.