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Finding the Fourth Proportional to 6,014.70, 8,291.90 and 5,184.24

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Solution

The fourth proportional to 6,014.70, 8,291.90 and 5,184.24 is: 7,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.70 : 8,291.90 = 5,184.24 : x
  2. Step 2: Convert to fraction form
    6,014.70/8,291.90 = 5,184.24/x
  3. Step 3: Cross multiply
    6,014.70x = 8,291.90 × 5,184.24
  4. Step 4: Simplify right side
    6,014.70x = 42,987,173.73
  5. Step 5: Solve for x
    x = 42,987,173.73/6,014.70
  6. Step 6: Final answer
    x = 7,147.02

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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.