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Finding the Fourth Proportional to 7,103.08, 9,802.38 and 3,958.93

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Solution

The fourth proportional to 7,103.08, 9,802.38 and 3,958.93 is: 5,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.08 : 9,802.38 = 3,958.93 : x
  2. Step 2: Convert to fraction form
    7,103.08/9,802.38 = 3,958.93/x
  3. Step 3: Cross multiply
    7,103.08x = 9,802.38 × 3,958.93
  4. Step 4: Simplify right side
    7,103.08x = 38,806,936.25
  5. Step 5: Solve for x
    x = 38,806,936.25/7,103.08
  6. Step 6: Final answer
    x = 5,463.40

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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.