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Finding the Fourth Proportional to 11,341, 17,017.98 and 5,185

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Solution

The fourth proportional to 11,341, 17,017.98 and 5,185 is: 7,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341 : 17,017.98 = 5,185 : x
  2. Step 2: Convert to fraction form
    11,341/17,017.98 = 5,185/x
  3. Step 3: Cross multiply
    11,341x = 17,017.98 × 5,185
  4. Step 4: Simplify right side
    11,341x = 88,238,226.30
  5. Step 5: Solve for x
    x = 88,238,226.30/11,341
  6. Step 6: Final answer
    x = 7,780.46

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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.