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Finding the Fourth Proportional to 7,104.24, 9,803.63 and 4,119.93

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Solution

The fourth proportional to 7,104.24, 9,803.63 and 4,119.93 is: 5,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.24 : 9,803.63 = 4,119.93 : x
  2. Step 2: Convert to fraction form
    7,104.24/9,803.63 = 4,119.93/x
  3. Step 3: Cross multiply
    7,104.24x = 9,803.63 × 4,119.93
  4. Step 4: Simplify right side
    7,104.24x = 40,390,279.65
  5. Step 5: Solve for x
    x = 40,390,279.65/7,104.24
  6. Step 6: Final answer
    x = 5,685.38

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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.