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Finding the Fourth Proportional to 7,386.93, 10,194.12 and 4,200.12

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Solution

The fourth proportional to 7,386.93, 10,194.12 and 4,200.12 is: 5,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.93 : 10,194.12 = 4,200.12 : x
  2. Step 2: Convert to fraction form
    7,386.93/10,194.12 = 4,200.12/x
  3. Step 3: Cross multiply
    7,386.93x = 10,194.12 × 4,200.12
  4. Step 4: Simplify right side
    7,386.93x = 42,816,527.29
  5. Step 5: Solve for x
    x = 42,816,527.29/7,386.93
  6. Step 6: Final answer
    x = 5,796.25

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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.