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Finding the Fourth Proportional to 12,884.52, 17,783.16 and 7,583.88

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Solution

The fourth proportional to 12,884.52, 17,783.16 and 7,583.88 is: 10,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.52 : 17,783.16 = 7,583.88 : x
  2. Step 2: Convert to fraction form
    12,884.52/17,783.16 = 7,583.88/x
  3. Step 3: Cross multiply
    12,884.52x = 17,783.16 × 7,583.88
  4. Step 4: Simplify right side
    12,884.52x = 134,865,351.46
  5. Step 5: Solve for x
    x = 134,865,351.46/12,884.52
  6. Step 6: Final answer
    x = 10,467.24

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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.