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Finding the Fourth Proportional to 7,982.37, 11,913.21 and 7,775.01

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Solution

The fourth proportional to 7,982.37, 11,913.21 and 7,775.01 is: 11,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.37 : 11,913.21 = 7,775.01 : x
  2. Step 2: Convert to fraction form
    7,982.37/11,913.21 = 7,775.01/x
  3. Step 3: Cross multiply
    7,982.37x = 11,913.21 × 7,775.01
  4. Step 4: Simplify right side
    7,982.37x = 92,625,326.88
  5. Step 5: Solve for x
    x = 92,625,326.88/7,982.37
  6. Step 6: Final answer
    x = 11,603.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.