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Finding the Fourth Proportional to 7,385.81, 11,078.64 and 2,455.81

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Solution

The fourth proportional to 7,385.81, 11,078.64 and 2,455.81 is: 3,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.81 : 11,078.64 = 2,455.81 : x
  2. Step 2: Convert to fraction form
    7,385.81/11,078.64 = 2,455.81/x
  3. Step 3: Cross multiply
    7,385.81x = 11,078.64 × 2,455.81
  4. Step 4: Simplify right side
    7,385.81x = 27,207,007.20
  5. Step 5: Solve for x
    x = 27,207,007.20/7,385.81
  6. Step 6: Final answer
    x = 3,683.69

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Why These Related Problems?

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