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Finding the Fourth Proportional to 7,759.65, 11,646.21 and 4,064.46

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Solution

The fourth proportional to 7,759.65, 11,646.21 and 4,064.46 is: 6,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.65 : 11,646.21 = 4,064.46 : x
  2. Step 2: Convert to fraction form
    7,759.65/11,646.21 = 4,064.46/x
  3. Step 3: Cross multiply
    7,759.65x = 11,646.21 × 4,064.46
  4. Step 4: Simplify right side
    7,759.65x = 47,335,554.70
  5. Step 5: Solve for x
    x = 47,335,554.70/7,759.65
  6. Step 6: Final answer
    x = 6,100.22

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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.