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Finding the Fourth Proportional to 7,363.84, 11,047.42 and 2,434

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Solution

The fourth proportional to 7,363.84, 11,047.42 and 2,434 is: 3,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,363.84 : 11,047.42 = 2,434 : x
  2. Step 2: Convert to fraction form
    7,363.84/11,047.42 = 2,434/x
  3. Step 3: Cross multiply
    7,363.84x = 11,047.42 × 2,434
  4. Step 4: Simplify right side
    7,363.84x = 26,889,420.28
  5. Step 5: Solve for x
    x = 26,889,420.28/7,363.84
  6. Step 6: Final answer
    x = 3,651.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.