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Finding the Fourth Proportional to 7,104.27, 9,802.78 and 4,119.49

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Solution

The fourth proportional to 7,104.27, 9,802.78 and 4,119.49 is: 5,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.27 : 9,802.78 = 4,119.49 : x
  2. Step 2: Convert to fraction form
    7,104.27/9,802.78 = 4,119.49/x
  3. Step 3: Cross multiply
    7,104.27x = 9,802.78 × 4,119.49
  4. Step 4: Simplify right side
    7,104.27x = 40,382,419.38
  5. Step 5: Solve for x
    x = 40,382,419.38/7,104.27
  6. Step 6: Final answer
    x = 5,684.25

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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.