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Finding the Fourth Proportional to 6,783.66, 10,174.91 and 2,103.57

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Solution

The fourth proportional to 6,783.66, 10,174.91 and 2,103.57 is: 3,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.66 : 10,174.91 = 2,103.57 : x
  2. Step 2: Convert to fraction form
    6,783.66/10,174.91 = 2,103.57/x
  3. Step 3: Cross multiply
    6,783.66x = 10,174.91 × 2,103.57
  4. Step 4: Simplify right side
    6,783.66x = 21,403,624.91
  5. Step 5: Solve for x
    x = 21,403,624.91/6,783.66
  6. Step 6: Final answer
    x = 3,155.17

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