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Finding the Fourth Proportional to 10,604.68, 14,634.90 and 5,889

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Solution

The fourth proportional to 10,604.68, 14,634.90 and 5,889 is: 8,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.68 : 14,634.90 = 5,889 : x
  2. Step 2: Convert to fraction form
    10,604.68/14,634.90 = 5,889/x
  3. Step 3: Cross multiply
    10,604.68x = 14,634.90 × 5,889
  4. Step 4: Simplify right side
    10,604.68x = 86,184,926.10
  5. Step 5: Solve for x
    x = 86,184,926.10/10,604.68
  6. Step 6: Final answer
    x = 8,127.07

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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.