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Finding the Fourth Proportional to 7,756.44, 10,694 and 5,026.16

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Solution

The fourth proportional to 7,756.44, 10,694 and 5,026.16 is: 6,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.44 : 10,694 = 5,026.16 : x
  2. Step 2: Convert to fraction form
    7,756.44/10,694 = 5,026.16/x
  3. Step 3: Cross multiply
    7,756.44x = 10,694 × 5,026.16
  4. Step 4: Simplify right side
    7,756.44x = 53,749,755.04
  5. Step 5: Solve for x
    x = 53,749,755.04/7,756.44
  6. Step 6: Final answer
    x = 6,929.69

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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.