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Finding the Fourth Proportional to 7,867.23, 10,855.50 and 4,509.42

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Solution

The fourth proportional to 7,867.23, 10,855.50 and 4,509.42 is: 6,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.23 : 10,855.50 = 4,509.42 : x
  2. Step 2: Convert to fraction form
    7,867.23/10,855.50 = 4,509.42/x
  3. Step 3: Cross multiply
    7,867.23x = 10,855.50 × 4,509.42
  4. Step 4: Simplify right side
    7,867.23x = 48,952,037.62
  5. Step 5: Solve for x
    x = 48,952,037.62/7,867.23
  6. Step 6: Final answer
    x = 6,222.27

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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.