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Finding the Fourth Proportional to 7,708.49, 10,638.21 and 4,350.07

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Solution

The fourth proportional to 7,708.49, 10,638.21 and 4,350.07 is: 6,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.49 : 10,638.21 = 4,350.07 : x
  2. Step 2: Convert to fraction form
    7,708.49/10,638.21 = 4,350.07/x
  3. Step 3: Cross multiply
    7,708.49x = 10,638.21 × 4,350.07
  4. Step 4: Simplify right side
    7,708.49x = 46,276,958.17
  5. Step 5: Solve for x
    x = 46,276,958.17/7,708.49
  6. Step 6: Final answer
    x = 6,003.38

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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.