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Finding the Fourth Proportional to 8,253.63, 12,384.36 and 4,094.01

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Solution

The fourth proportional to 8,253.63, 12,384.36 and 4,094.01 is: 6,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.63 : 12,384.36 = 4,094.01 : x
  2. Step 2: Convert to fraction form
    8,253.63/12,384.36 = 4,094.01/x
  3. Step 3: Cross multiply
    8,253.63x = 12,384.36 × 4,094.01
  4. Step 4: Simplify right side
    8,253.63x = 50,701,693.68
  5. Step 5: Solve for x
    x = 50,701,693.68/8,253.63
  6. Step 6: Final answer
    x = 6,142.96

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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.