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Finding the Fourth Proportional to 7,376.67, 10,180.89 and 4,858.38

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Solution

The fourth proportional to 7,376.67, 10,180.89 and 4,858.38 is: 6,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.67 : 10,180.89 = 4,858.38 : x
  2. Step 2: Convert to fraction form
    7,376.67/10,180.89 = 4,858.38/x
  3. Step 3: Cross multiply
    7,376.67x = 10,180.89 × 4,858.38
  4. Step 4: Simplify right side
    7,376.67x = 49,462,632.36
  5. Step 5: Solve for x
    x = 49,462,632.36/7,376.67
  6. Step 6: Final answer
    x = 6,705.28

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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.