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Finding the Fourth Proportional to 8,146.60, 11,242.30 and 4,420.60

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Solution

The fourth proportional to 8,146.60, 11,242.30 and 4,420.60 is: 6,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.60 : 11,242.30 = 4,420.60 : x
  2. Step 2: Convert to fraction form
    8,146.60/11,242.30 = 4,420.60/x
  3. Step 3: Cross multiply
    8,146.60x = 11,242.30 × 4,420.60
  4. Step 4: Simplify right side
    8,146.60x = 49,697,672.22
  5. Step 5: Solve for x
    x = 49,697,672.22/8,146.60
  6. Step 6: Final answer
    x = 6,100.42

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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.