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Finding the Fourth Proportional to 8,045.54, 12,068.21 and 7,847

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Solution

The fourth proportional to 8,045.54, 12,068.21 and 7,847 is: 11,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.54 : 12,068.21 = 7,847 : x
  2. Step 2: Convert to fraction form
    8,045.54/12,068.21 = 7,847/x
  3. Step 3: Cross multiply
    8,045.54x = 12,068.21 × 7,847
  4. Step 4: Simplify right side
    8,045.54x = 94,699,243.87
  5. Step 5: Solve for x
    x = 94,699,243.87/8,045.54
  6. Step 6: Final answer
    x = 11,770.40

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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.