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Finding the Fourth Proportional to 7,384.05, 10,189.04 and 4,196.93

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Solution

The fourth proportional to 7,384.05, 10,189.04 and 4,196.93 is: 5,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.05 : 10,189.04 = 4,196.93 : x
  2. Step 2: Convert to fraction form
    7,384.05/10,189.04 = 4,196.93/x
  3. Step 3: Cross multiply
    7,384.05x = 10,189.04 × 4,196.93
  4. Step 4: Simplify right side
    7,384.05x = 42,762,615.72
  5. Step 5: Solve for x
    x = 42,762,615.72/7,384.05
  6. Step 6: Final answer
    x = 5,791.21

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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.