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Finding the Fourth Proportional to 8,140.79, 12,213 and 4,441.11

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Solution

The fourth proportional to 8,140.79, 12,213 and 4,441.11 is: 6,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.79 : 12,213 = 4,441.11 : x
  2. Step 2: Convert to fraction form
    8,140.79/12,213 = 4,441.11/x
  3. Step 3: Cross multiply
    8,140.79x = 12,213 × 4,441.11
  4. Step 4: Simplify right side
    8,140.79x = 54,239,276.43
  5. Step 5: Solve for x
    x = 54,239,276.43/8,140.79
  6. Step 6: Final answer
    x = 6,662.66

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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.