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Finding the Fourth Proportional to 6,702.24, 10,054.14 and 3,237

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Solution

The fourth proportional to 6,702.24, 10,054.14 and 3,237 is: 4,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.24 : 10,054.14 = 3,237 : x
  2. Step 2: Convert to fraction form
    6,702.24/10,054.14 = 3,237/x
  3. Step 3: Cross multiply
    6,702.24x = 10,054.14 × 3,237
  4. Step 4: Simplify right side
    6,702.24x = 32,545,251.18
  5. Step 5: Solve for x
    x = 32,545,251.18/6,702.24
  6. Step 6: Final answer
    x = 4,855.88

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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.