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Finding the Fourth Proportional to 11,844.49, 17,762.95 and 4,824.49

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Solution

The fourth proportional to 11,844.49, 17,762.95 and 4,824.49 is: 7,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.49 : 17,762.95 = 4,824.49 : x
  2. Step 2: Convert to fraction form
    11,844.49/17,762.95 = 4,824.49/x
  3. Step 3: Cross multiply
    11,844.49x = 17,762.95 × 4,824.49
  4. Step 4: Simplify right side
    11,844.49x = 85,697,073.77
  5. Step 5: Solve for x
    x = 85,697,073.77/11,844.49
  6. Step 6: Final answer
    x = 7,235.19

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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.