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Finding the Fourth Proportional to 7,795.72, 11,697.90 and 5,719.96

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Solution

The fourth proportional to 7,795.72, 11,697.90 and 5,719.96 is: 8,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.72 : 11,697.90 = 5,719.96 : x
  2. Step 2: Convert to fraction form
    7,795.72/11,697.90 = 5,719.96/x
  3. Step 3: Cross multiply
    7,795.72x = 11,697.90 × 5,719.96
  4. Step 4: Simplify right side
    7,795.72x = 66,911,520.08
  5. Step 5: Solve for x
    x = 66,911,520.08/7,795.72
  6. Step 6: Final answer
    x = 8,583.11

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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.