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Finding the Fourth Proportional to 12,562.43, 18,844.04 and 6,319.03

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Solution

The fourth proportional to 12,562.43, 18,844.04 and 6,319.03 is: 9,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.43 : 18,844.04 = 6,319.03 : x
  2. Step 2: Convert to fraction form
    12,562.43/18,844.04 = 6,319.03/x
  3. Step 3: Cross multiply
    12,562.43x = 18,844.04 × 6,319.03
  4. Step 4: Simplify right side
    12,562.43x = 119,076,054.08
  5. Step 5: Solve for x
    x = 119,076,054.08/12,562.43
  6. Step 6: Final answer
    x = 9,478.74

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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.