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Finding the Fourth Proportional to 7,433.84, 10,259.16 and 4,121.84

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Solution

The fourth proportional to 7,433.84, 10,259.16 and 4,121.84 is: 5,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.84 : 10,259.16 = 4,121.84 : x
  2. Step 2: Convert to fraction form
    7,433.84/10,259.16 = 4,121.84/x
  3. Step 3: Cross multiply
    7,433.84x = 10,259.16 × 4,121.84
  4. Step 4: Simplify right side
    7,433.84x = 42,286,616.05
  5. Step 5: Solve for x
    x = 42,286,616.05/7,433.84
  6. Step 6: Final answer
    x = 5,688.39

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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.