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Finding the Fourth Proportional to 12,889.39, 17,786.51 and 7,583.19

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Solution

The fourth proportional to 12,889.39, 17,786.51 and 7,583.19 is: 10,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.39 : 17,786.51 = 7,583.19 : x
  2. Step 2: Convert to fraction form
    12,889.39/17,786.51 = 7,583.19/x
  3. Step 3: Cross multiply
    12,889.39x = 17,786.51 × 7,583.19
  4. Step 4: Simplify right side
    12,889.39x = 134,878,484.77
  5. Step 5: Solve for x
    x = 134,878,484.77/12,889.39
  6. Step 6: Final answer
    x = 10,464.30

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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.