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Finding the Fourth Proportional to 8,982.30, 12,395.60 and 5,206.20

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Solution

The fourth proportional to 8,982.30, 12,395.60 and 5,206.20 is: 7,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.30 : 12,395.60 = 5,206.20 : x
  2. Step 2: Convert to fraction form
    8,982.30/12,395.60 = 5,206.20/x
  3. Step 3: Cross multiply
    8,982.30x = 12,395.60 × 5,206.20
  4. Step 4: Simplify right side
    8,982.30x = 64,533,972.72
  5. Step 5: Solve for x
    x = 64,533,972.72/8,982.30
  6. Step 6: Final answer
    x = 7,184.57

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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.