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Finding the Fourth Proportional to 7,386.86, 10,194.11 and 4,200.09

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Solution

The fourth proportional to 7,386.86, 10,194.11 and 4,200.09 is: 5,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.86 : 10,194.11 = 4,200.09 : x
  2. Step 2: Convert to fraction form
    7,386.86/10,194.11 = 4,200.09/x
  3. Step 3: Cross multiply
    7,386.86x = 10,194.11 × 4,200.09
  4. Step 4: Simplify right side
    7,386.86x = 42,816,158.47
  5. Step 5: Solve for x
    x = 42,816,158.47/7,386.86
  6. Step 6: Final answer
    x = 5,796.26

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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.