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Finding the Fourth Proportional to 8,366.94, 11,546.89 and 4,830.38

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Solution

The fourth proportional to 8,366.94, 11,546.89 and 4,830.38 is: 6,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.94 : 11,546.89 = 4,830.38 : x
  2. Step 2: Convert to fraction form
    8,366.94/11,546.89 = 4,830.38/x
  3. Step 3: Cross multiply
    8,366.94x = 11,546.89 × 4,830.38
  4. Step 4: Simplify right side
    8,366.94x = 55,775,840.01
  5. Step 5: Solve for x
    x = 55,775,840.01/8,366.94
  6. Step 6: Final answer
    x = 6,666.22

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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.