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Finding the Fourth Proportional to 7,686.38, 10,607.72 and 5,794.63

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Solution

The fourth proportional to 7,686.38, 10,607.72 and 5,794.63 is: 7,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.38 : 10,607.72 = 5,794.63 : x
  2. Step 2: Convert to fraction form
    7,686.38/10,607.72 = 5,794.63/x
  3. Step 3: Cross multiply
    7,686.38x = 10,607.72 × 5,794.63
  4. Step 4: Simplify right side
    7,686.38x = 61,467,812.54
  5. Step 5: Solve for x
    x = 61,467,812.54/7,686.38
  6. Step 6: Final answer
    x = 7,996.98

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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.