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Finding the Fourth Proportional to 7,811.62, 10,782.30 and 4,456.24

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Solution

The fourth proportional to 7,811.62, 10,782.30 and 4,456.24 is: 6,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.62 : 10,782.30 = 4,456.24 : x
  2. Step 2: Convert to fraction form
    7,811.62/10,782.30 = 4,456.24/x
  3. Step 3: Cross multiply
    7,811.62x = 10,782.30 × 4,456.24
  4. Step 4: Simplify right side
    7,811.62x = 48,048,516.55
  5. Step 5: Solve for x
    x = 48,048,516.55/7,811.62
  6. Step 6: Final answer
    x = 6,150.90

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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.