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Finding the Fourth Proportional to 6,730.70, 10,093.28 and 3,031.93

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Solution

The fourth proportional to 6,730.70, 10,093.28 and 3,031.93 is: 4,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.70 : 10,093.28 = 3,031.93 : x
  2. Step 2: Convert to fraction form
    6,730.70/10,093.28 = 3,031.93/x
  3. Step 3: Cross multiply
    6,730.70x = 10,093.28 × 3,031.93
  4. Step 4: Simplify right side
    6,730.70x = 30,602,115.89
  5. Step 5: Solve for x
    x = 30,602,115.89/6,730.70
  6. Step 6: Final answer
    x = 4,546.65

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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.