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Finding the Fourth Proportional to 7,290.20, 10,913.70 and 6,512.60

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Solution

The fourth proportional to 7,290.20, 10,913.70 and 6,512.60 is: 9,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.20 : 10,913.70 = 6,512.60 : x
  2. Step 2: Convert to fraction form
    7,290.20/10,913.70 = 6,512.60/x
  3. Step 3: Cross multiply
    7,290.20x = 10,913.70 × 6,512.60
  4. Step 4: Simplify right side
    7,290.20x = 71,076,562.62
  5. Step 5: Solve for x
    x = 71,076,562.62/7,290.20
  6. Step 6: Final answer
    x = 9,749.60

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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.