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Finding the Fourth Proportional to 6,137.52, 8,474.58 and 4,014.48

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Solution

The fourth proportional to 6,137.52, 8,474.58 and 4,014.48 is: 5,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.52 : 8,474.58 = 4,014.48 : x
  2. Step 2: Convert to fraction form
    6,137.52/8,474.58 = 4,014.48/x
  3. Step 3: Cross multiply
    6,137.52x = 8,474.58 × 4,014.48
  4. Step 4: Simplify right side
    6,137.52x = 34,021,031.92
  5. Step 5: Solve for x
    x = 34,021,031.92/6,137.52
  6. Step 6: Final answer
    x = 5,543.12

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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.