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Finding the Fourth Proportional to 8,809.64, 13,202.14 and 4,124.60

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Solution

The fourth proportional to 8,809.64, 13,202.14 and 4,124.60 is: 6,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.64 : 13,202.14 = 4,124.60 : x
  2. Step 2: Convert to fraction form
    8,809.64/13,202.14 = 4,124.60/x
  3. Step 3: Cross multiply
    8,809.64x = 13,202.14 × 4,124.60
  4. Step 4: Simplify right side
    8,809.64x = 54,453,546.64
  5. Step 5: Solve for x
    x = 54,453,546.64/8,809.64
  6. Step 6: Final answer
    x = 6,181.13

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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.