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Finding the Fourth Proportional to 7,327.16, 10,111.49 and 3,970

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Solution

The fourth proportional to 7,327.16, 10,111.49 and 3,970 is: 5,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.16 : 10,111.49 = 3,970 : x
  2. Step 2: Convert to fraction form
    7,327.16/10,111.49 = 3,970/x
  3. Step 3: Cross multiply
    7,327.16x = 10,111.49 × 3,970
  4. Step 4: Simplify right side
    7,327.16x = 40,142,615.30
  5. Step 5: Solve for x
    x = 40,142,615.30/7,327.16
  6. Step 6: Final answer
    x = 5,478.60

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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.