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Finding the Fourth Proportional to 7,103.37, 9,802.51 and 4,119.13

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Solution

The fourth proportional to 7,103.37, 9,802.51 and 4,119.13 is: 5,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.37 : 9,802.51 = 4,119.13 : x
  2. Step 2: Convert to fraction form
    7,103.37/9,802.51 = 4,119.13/x
  3. Step 3: Cross multiply
    7,103.37x = 9,802.51 × 4,119.13
  4. Step 4: Simplify right side
    7,103.37x = 40,377,813.02
  5. Step 5: Solve for x
    x = 40,377,813.02/7,103.37
  6. Step 6: Final answer
    x = 5,684.32

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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.