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Finding the Fourth Proportional to 7,771.58, 10,725 and 4,234.86

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Solution

The fourth proportional to 7,771.58, 10,725 and 4,234.86 is: 5,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.58 : 10,725 = 4,234.86 : x
  2. Step 2: Convert to fraction form
    7,771.58/10,725 = 4,234.86/x
  3. Step 3: Cross multiply
    7,771.58x = 10,725 × 4,234.86
  4. Step 4: Simplify right side
    7,771.58x = 45,418,873.50
  5. Step 5: Solve for x
    x = 45,418,873.50/7,771.58
  6. Step 6: Final answer
    x = 5,844.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.