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Finding the Fourth Proportional to 10,200.94, 15,303.60 and 3,180.80

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Solution

The fourth proportional to 10,200.94, 15,303.60 and 3,180.80 is: 4,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.94 : 15,303.60 = 3,180.80 : x
  2. Step 2: Convert to fraction form
    10,200.94/15,303.60 = 3,180.80/x
  3. Step 3: Cross multiply
    10,200.94x = 15,303.60 × 3,180.80
  4. Step 4: Simplify right side
    10,200.94x = 48,677,729.14
  5. Step 5: Solve for x
    x = 48,677,729.14/10,200.94
  6. Step 6: Final answer
    x = 4,771.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.