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Finding the Fourth Proportional to 11,141, 15,374.61 and 6,173

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Solution

The fourth proportional to 11,141, 15,374.61 and 6,173 is: 8,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141 : 15,374.61 = 6,173 : x
  2. Step 2: Convert to fraction form
    11,141/15,374.61 = 6,173/x
  3. Step 3: Cross multiply
    11,141x = 15,374.61 × 6,173
  4. Step 4: Simplify right side
    11,141x = 94,907,467.53
  5. Step 5: Solve for x
    x = 94,907,467.53/11,141
  6. Step 6: Final answer
    x = 8,518.76

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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.