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Finding the Fourth Proportional to 7,872.90, 11,805.87 and 4,174.28

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Solution

The fourth proportional to 7,872.90, 11,805.87 and 4,174.28 is: 6,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.90 : 11,805.87 = 4,174.28 : x
  2. Step 2: Convert to fraction form
    7,872.90/11,805.87 = 4,174.28/x
  3. Step 3: Cross multiply
    7,872.90x = 11,805.87 × 4,174.28
  4. Step 4: Simplify right side
    7,872.90x = 49,281,050.85
  5. Step 5: Solve for x
    x = 49,281,050.85/7,872.90
  6. Step 6: Final answer
    x = 6,259.58

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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.