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Finding the Fourth Proportional to 7,907.46, 11,862.10 and 2,064.52

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Solution

The fourth proportional to 7,907.46, 11,862.10 and 2,064.52 is: 3,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.46 : 11,862.10 = 2,064.52 : x
  2. Step 2: Convert to fraction form
    7,907.46/11,862.10 = 2,064.52/x
  3. Step 3: Cross multiply
    7,907.46x = 11,862.10 × 2,064.52
  4. Step 4: Simplify right side
    7,907.46x = 24,489,542.69
  5. Step 5: Solve for x
    x = 24,489,542.69/7,907.46
  6. Step 6: Final answer
    x = 3,097.02

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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.