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Finding the Fourth Proportional to 7,759.01, 10,707.68 and 4,222.46

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Solution

The fourth proportional to 7,759.01, 10,707.68 and 4,222.46 is: 5,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.01 : 10,707.68 = 4,222.46 : x
  2. Step 2: Convert to fraction form
    7,759.01/10,707.68 = 4,222.46/x
  3. Step 3: Cross multiply
    7,759.01x = 10,707.68 × 4,222.46
  4. Step 4: Simplify right side
    7,759.01x = 45,212,729.38
  5. Step 5: Solve for x
    x = 45,212,729.38/7,759.01
  6. Step 6: Final answer
    x = 5,827.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.