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Finding the Fourth Proportional to 7,086.35, 10,630.96 and 3,970.80

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Solution

The fourth proportional to 7,086.35, 10,630.96 and 3,970.80 is: 5,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.35 : 10,630.96 = 3,970.80 : x
  2. Step 2: Convert to fraction form
    7,086.35/10,630.96 = 3,970.80/x
  3. Step 3: Cross multiply
    7,086.35x = 10,630.96 × 3,970.80
  4. Step 4: Simplify right side
    7,086.35x = 42,213,406.04
  5. Step 5: Solve for x
    x = 42,213,406.04/7,086.35
  6. Step 6: Final answer
    x = 5,957.00

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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.