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Finding the Fourth Proportional to 7,846.30, 11,761.35 and 5,647.42

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Solution

The fourth proportional to 7,846.30, 11,761.35 and 5,647.42 is: 8,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.30 : 11,761.35 = 5,647.42 : x
  2. Step 2: Convert to fraction form
    7,846.30/11,761.35 = 5,647.42/x
  3. Step 3: Cross multiply
    7,846.30x = 11,761.35 × 5,647.42
  4. Step 4: Simplify right side
    7,846.30x = 66,421,283.22
  5. Step 5: Solve for x
    x = 66,421,283.22/7,846.30
  6. Step 6: Final answer
    x = 8,465.30

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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.