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Finding the Fourth Proportional to 7,671, 11,509.20 and 3,778.14

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Solution

The fourth proportional to 7,671, 11,509.20 and 3,778.14 is: 5,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671 : 11,509.20 = 3,778.14 : x
  2. Step 2: Convert to fraction form
    7,671/11,509.20 = 3,778.14/x
  3. Step 3: Cross multiply
    7,671x = 11,509.20 × 3,778.14
  4. Step 4: Simplify right side
    7,671x = 43,483,368.89
  5. Step 5: Solve for x
    x = 43,483,368.89/7,671
  6. Step 6: Final answer
    x = 5,668.54

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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.