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Finding the Fourth Proportional to 10,592.00, 14,616.95 and 5,811.97

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Solution

The fourth proportional to 10,592.00, 14,616.95 and 5,811.97 is: 8,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.00 : 14,616.95 = 5,811.97 : x
  2. Step 2: Convert to fraction form
    10,592.00/14,616.95 = 5,811.97/x
  3. Step 3: Cross multiply
    10,592.00x = 14,616.95 × 5,811.97
  4. Step 4: Simplify right side
    10,592.00x = 84,953,223.82
  5. Step 5: Solve for x
    x = 84,953,223.82/10,592.00
  6. Step 6: Final answer
    x = 8,020.51

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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.