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Finding the Fourth Proportional to 11,577, 17,368.44 and 3,369

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Solution

The fourth proportional to 11,577, 17,368.44 and 3,369 is: 5,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577 : 17,368.44 = 3,369 : x
  2. Step 2: Convert to fraction form
    11,577/17,368.44 = 3,369/x
  3. Step 3: Cross multiply
    11,577x = 17,368.44 × 3,369
  4. Step 4: Simplify right side
    11,577x = 58,514,274.36
  5. Step 5: Solve for x
    x = 58,514,274.36/11,577
  6. Step 6: Final answer
    x = 5,054.36

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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.