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Finding the Fourth Proportional to 7,118.82, 9,823.82 and 3,975.08

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Solution

The fourth proportional to 7,118.82, 9,823.82 and 3,975.08 is: 5,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.82 : 9,823.82 = 3,975.08 : x
  2. Step 2: Convert to fraction form
    7,118.82/9,823.82 = 3,975.08/x
  3. Step 3: Cross multiply
    7,118.82x = 9,823.82 × 3,975.08
  4. Step 4: Simplify right side
    7,118.82x = 39,050,401.41
  5. Step 5: Solve for x
    x = 39,050,401.41/7,118.82
  6. Step 6: Final answer
    x = 5,485.52

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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.