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Finding the Fourth Proportional to 7,937.10, 11,907.32 and 3,006.63

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Solution

The fourth proportional to 7,937.10, 11,907.32 and 3,006.63 is: 4,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.10 : 11,907.32 = 3,006.63 : x
  2. Step 2: Convert to fraction form
    7,937.10/11,907.32 = 3,006.63/x
  3. Step 3: Cross multiply
    7,937.10x = 11,907.32 × 3,006.63
  4. Step 4: Simplify right side
    7,937.10x = 35,800,890.50
  5. Step 5: Solve for x
    x = 35,800,890.50/7,937.10
  6. Step 6: Final answer
    x = 4,510.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.