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Finding the Fourth Proportional to 7,147.58, 10,713.08 and 4,228.34

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Solution

The fourth proportional to 7,147.58, 10,713.08 and 4,228.34 is: 6,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.58 : 10,713.08 = 4,228.34 : x
  2. Step 2: Convert to fraction form
    7,147.58/10,713.08 = 4,228.34/x
  3. Step 3: Cross multiply
    7,147.58x = 10,713.08 × 4,228.34
  4. Step 4: Simplify right side
    7,147.58x = 45,298,544.69
  5. Step 5: Solve for x
    x = 45,298,544.69/7,147.58
  6. Step 6: Final answer
    x = 6,337.61

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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.