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Finding the Fourth Proportional to 7,103.39, 9,802.58 and 4,119.14

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Solution

The fourth proportional to 7,103.39, 9,802.58 and 4,119.14 is: 5,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.39 : 9,802.58 = 4,119.14 : x
  2. Step 2: Convert to fraction form
    7,103.39/9,802.58 = 4,119.14/x
  3. Step 3: Cross multiply
    7,103.39x = 9,802.58 × 4,119.14
  4. Step 4: Simplify right side
    7,103.39x = 40,378,203.29
  5. Step 5: Solve for x
    x = 40,378,203.29/7,103.39
  6. Step 6: Final answer
    x = 5,684.36

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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.