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Finding the Fourth Proportional to 7,387.69, 10,194.01 and 4,200.45

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Solution

The fourth proportional to 7,387.69, 10,194.01 and 4,200.45 is: 5,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.69 : 10,194.01 = 4,200.45 : x
  2. Step 2: Convert to fraction form
    7,387.69/10,194.01 = 4,200.45/x
  3. Step 3: Cross multiply
    7,387.69x = 10,194.01 × 4,200.45
  4. Step 4: Simplify right side
    7,387.69x = 42,819,429.30
  5. Step 5: Solve for x
    x = 42,819,429.30/7,387.69
  6. Step 6: Final answer
    x = 5,796.05

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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.