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Finding the Fourth Proportional to 11,902.54, 17,837.60 and 4,503.02

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Solution

The fourth proportional to 11,902.54, 17,837.60 and 4,503.02 is: 6,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.54 : 17,837.60 = 4,503.02 : x
  2. Step 2: Convert to fraction form
    11,902.54/17,837.60 = 4,503.02/x
  3. Step 3: Cross multiply
    11,902.54x = 17,837.60 × 4,503.02
  4. Step 4: Simplify right side
    11,902.54x = 80,323,069.55
  5. Step 5: Solve for x
    x = 80,323,069.55/11,902.54
  6. Step 6: Final answer
    x = 6,748.40

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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.