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Finding the Fourth Proportional to 7,970.75, 10,999.42 and 4,433.99

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Solution

The fourth proportional to 7,970.75, 10,999.42 and 4,433.99 is: 6,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.75 : 10,999.42 = 4,433.99 : x
  2. Step 2: Convert to fraction form
    7,970.75/10,999.42 = 4,433.99/x
  3. Step 3: Cross multiply
    7,970.75x = 10,999.42 × 4,433.99
  4. Step 4: Simplify right side
    7,970.75x = 48,771,326.55
  5. Step 5: Solve for x
    x = 48,771,326.55/7,970.75
  6. Step 6: Final answer
    x = 6,118.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.