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Finding the Fourth Proportional to 10,444.58, 15,674.65 and 4,204.64

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Solution

The fourth proportional to 10,444.58, 15,674.65 and 4,204.64 is: 6,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.58 : 15,674.65 = 4,204.64 : x
  2. Step 2: Convert to fraction form
    10,444.58/15,674.65 = 4,204.64/x
  3. Step 3: Cross multiply
    10,444.58x = 15,674.65 × 4,204.64
  4. Step 4: Simplify right side
    10,444.58x = 65,906,260.38
  5. Step 5: Solve for x
    x = 65,906,260.38/10,444.58
  6. Step 6: Final answer
    x = 6,310.09

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