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Finding the Fourth Proportional to 7,982.09, 11,973.11 and 4,820.16

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Solution

The fourth proportional to 7,982.09, 11,973.11 and 4,820.16 is: 7,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.09 : 11,973.11 = 4,820.16 : x
  2. Step 2: Convert to fraction form
    7,982.09/11,973.11 = 4,820.16/x
  3. Step 3: Cross multiply
    7,982.09x = 11,973.11 × 4,820.16
  4. Step 4: Simplify right side
    7,982.09x = 57,712,281.80
  5. Step 5: Solve for x
    x = 57,712,281.80/7,982.09
  6. Step 6: Final answer
    x = 7,230.23

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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.