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Finding the Fourth Proportional to 7,768.39, 10,720.64 and 4,411.09

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Solution

The fourth proportional to 7,768.39, 10,720.64 and 4,411.09 is: 6,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.39 : 10,720.64 = 4,411.09 : x
  2. Step 2: Convert to fraction form
    7,768.39/10,720.64 = 4,411.09/x
  3. Step 3: Cross multiply
    7,768.39x = 10,720.64 × 4,411.09
  4. Step 4: Simplify right side
    7,768.39x = 47,289,707.90
  5. Step 5: Solve for x
    x = 47,289,707.90/7,768.39
  6. Step 6: Final answer
    x = 6,087.45

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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.