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Finding the Fourth Proportional to 7,731.16, 10,669.03 and 4,194.38

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Solution

The fourth proportional to 7,731.16, 10,669.03 and 4,194.38 is: 5,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.16 : 10,669.03 = 4,194.38 : x
  2. Step 2: Convert to fraction form
    7,731.16/10,669.03 = 4,194.38/x
  3. Step 3: Cross multiply
    7,731.16x = 10,669.03 × 4,194.38
  4. Step 4: Simplify right side
    7,731.16x = 44,749,966.05
  5. Step 5: Solve for x
    x = 44,749,966.05/7,731.16
  6. Step 6: Final answer
    x = 5,788.26

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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.