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Finding the Fourth Proportional to 10,604.93, 14,634.42 and 5,824.85

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Solution

The fourth proportional to 10,604.93, 14,634.42 and 5,824.85 is: 8,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.93 : 14,634.42 = 5,824.85 : x
  2. Step 2: Convert to fraction form
    10,604.93/14,634.42 = 5,824.85/x
  3. Step 3: Cross multiply
    10,604.93x = 14,634.42 × 5,824.85
  4. Step 4: Simplify right side
    10,604.93x = 85,243,301.34
  5. Step 5: Solve for x
    x = 85,243,301.34/10,604.93
  6. Step 6: Final answer
    x = 8,038.08

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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.