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Finding the Fourth Proportional to 7,387.64, 10,194.61 and 4,030.39

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Solution

The fourth proportional to 7,387.64, 10,194.61 and 4,030.39 is: 5,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.64 : 10,194.61 = 4,030.39 : x
  2. Step 2: Convert to fraction form
    7,387.64/10,194.61 = 4,030.39/x
  3. Step 3: Cross multiply
    7,387.64x = 10,194.61 × 4,030.39
  4. Step 4: Simplify right side
    7,387.64x = 41,088,183.07
  5. Step 5: Solve for x
    x = 41,088,183.07/7,387.64
  6. Step 6: Final answer
    x = 5,561.75

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Why These Related Problems?

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