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Finding the Fourth Proportional to 11,393.04, 17,089.50 and 3,072.84

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Solution

The fourth proportional to 11,393.04, 17,089.50 and 3,072.84 is: 4,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.04 : 17,089.50 = 3,072.84 : x
  2. Step 2: Convert to fraction form
    11,393.04/17,089.50 = 3,072.84/x
  3. Step 3: Cross multiply
    11,393.04x = 17,089.50 × 3,072.84
  4. Step 4: Simplify right side
    11,393.04x = 52,513,299.18
  5. Step 5: Solve for x
    x = 52,513,299.18/11,393.04
  6. Step 6: Final answer
    x = 4,609.24

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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.