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Finding the Fourth Proportional to 11,886.54, 17,830.08 and 4,094.34

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Solution

The fourth proportional to 11,886.54, 17,830.08 and 4,094.34 is: 6,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.54 : 17,830.08 = 4,094.34 : x
  2. Step 2: Convert to fraction form
    11,886.54/17,830.08 = 4,094.34/x
  3. Step 3: Cross multiply
    11,886.54x = 17,830.08 × 4,094.34
  4. Step 4: Simplify right side
    11,886.54x = 73,002,409.75
  5. Step 5: Solve for x
    x = 73,002,409.75/11,886.54
  6. Step 6: Final answer
    x = 6,141.60

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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.