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Finding the Fourth Proportional to 7,369.20, 10,167 and 4,533.66

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Solution

The fourth proportional to 7,369.20, 10,167 and 4,533.66 is: 6,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369.20 : 10,167 = 4,533.66 : x
  2. Step 2: Convert to fraction form
    7,369.20/10,167 = 4,533.66/x
  3. Step 3: Cross multiply
    7,369.20x = 10,167 × 4,533.66
  4. Step 4: Simplify right side
    7,369.20x = 46,093,721.22
  5. Step 5: Solve for x
    x = 46,093,721.22/7,369.20
  6. Step 6: Final answer
    x = 6,254.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.