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Finding the Fourth Proportional to 7,176.08, 10,762.68 and 1,982.24

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Solution

The fourth proportional to 7,176.08, 10,762.68 and 1,982.24 is: 2,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.08 : 10,762.68 = 1,982.24 : x
  2. Step 2: Convert to fraction form
    7,176.08/10,762.68 = 1,982.24/x
  3. Step 3: Cross multiply
    7,176.08x = 10,762.68 × 1,982.24
  4. Step 4: Simplify right side
    7,176.08x = 21,334,214.80
  5. Step 5: Solve for x
    x = 21,334,214.80/7,176.08
  6. Step 6: Final answer
    x = 2,972.96

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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.