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Finding the Fourth Proportional to 7,847.89, 11,778.01 and 6,925.30

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Solution

The fourth proportional to 7,847.89, 11,778.01 and 6,925.30 is: 10,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.89 : 11,778.01 = 6,925.30 : x
  2. Step 2: Convert to fraction form
    7,847.89/11,778.01 = 6,925.30/x
  3. Step 3: Cross multiply
    7,847.89x = 11,778.01 × 6,925.30
  4. Step 4: Simplify right side
    7,847.89x = 81,566,205.89
  5. Step 5: Solve for x
    x = 81,566,205.89/7,847.89
  6. Step 6: Final answer
    x = 10,393.40

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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.