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Finding the Fourth Proportional to 7,118.76, 9,824.04 and 3,975.15

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Solution

The fourth proportional to 7,118.76, 9,824.04 and 3,975.15 is: 5,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.76 : 9,824.04 = 3,975.15 : x
  2. Step 2: Convert to fraction form
    7,118.76/9,824.04 = 3,975.15/x
  3. Step 3: Cross multiply
    7,118.76x = 9,824.04 × 3,975.15
  4. Step 4: Simplify right side
    7,118.76x = 39,052,032.61
  5. Step 5: Solve for x
    x = 39,052,032.61/7,118.76
  6. Step 6: Final answer
    x = 5,485.79

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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.