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Finding the Fourth Proportional to 7,844.40, 11,795.40 and 6,577.20

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Solution

The fourth proportional to 7,844.40, 11,795.40 and 6,577.20 is: 9,889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.40 : 11,795.40 = 6,577.20 : x
  2. Step 2: Convert to fraction form
    7,844.40/11,795.40 = 6,577.20/x
  3. Step 3: Cross multiply
    7,844.40x = 11,795.40 × 6,577.20
  4. Step 4: Simplify right side
    7,844.40x = 77,580,704.88
  5. Step 5: Solve for x
    x = 77,580,704.88/7,844.40
  6. Step 6: Final answer
    x = 9,889.95

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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.