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Finding the Fourth Proportional to 34,694.30, 52,041.60 and 8,399.00

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Solution

The fourth proportional to 34,694.30, 52,041.60 and 8,399.00 is: 12,598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694.30 : 52,041.60 = 8,399.00 : x
  2. Step 2: Convert to fraction form
    34,694.30/52,041.60 = 8,399.00/x
  3. Step 3: Cross multiply
    34,694.30x = 52,041.60 × 8,399.00
  4. Step 4: Simplify right side
    34,694.30x = 437,097,138.19
  5. Step 5: Solve for x
    x = 437,097,138.19/34,694.30
  6. Step 6: Final answer
    x = 12,598.53

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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.