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Finding the Fourth Proportional to 7,873.10, 11,799.11 and 5,783.30

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Solution

The fourth proportional to 7,873.10, 11,799.11 and 5,783.30 is: 8,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.10 : 11,799.11 = 5,783.30 : x
  2. Step 2: Convert to fraction form
    7,873.10/11,799.11 = 5,783.30/x
  3. Step 3: Cross multiply
    7,873.10x = 11,799.11 × 5,783.30
  4. Step 4: Simplify right side
    7,873.10x = 68,237,704.95
  5. Step 5: Solve for x
    x = 68,237,704.95/7,873.10
  6. Step 6: Final answer
    x = 8,667.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.