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Finding the Fourth Proportional to 10,550, 14,557.74 and 5,833.64

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Solution

The fourth proportional to 10,550, 14,557.74 and 5,833.64 is: 8,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550 : 14,557.74 = 5,833.64 : x
  2. Step 2: Convert to fraction form
    10,550/14,557.74 = 5,833.64/x
  3. Step 3: Cross multiply
    10,550x = 14,557.74 × 5,833.64
  4. Step 4: Simplify right side
    10,550x = 84,924,614.37
  5. Step 5: Solve for x
    x = 84,924,614.37/10,550
  6. Step 6: Final answer
    x = 8,049.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.