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Finding the Fourth Proportional to 10,551.36, 14,561.49 and 5,835.54

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Solution

The fourth proportional to 10,551.36, 14,561.49 and 5,835.54 is: 8,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.36 : 14,561.49 = 5,835.54 : x
  2. Step 2: Convert to fraction form
    10,551.36/14,561.49 = 5,835.54/x
  3. Step 3: Cross multiply
    10,551.36x = 14,561.49 × 5,835.54
  4. Step 4: Simplify right side
    10,551.36x = 84,974,157.35
  5. Step 5: Solve for x
    x = 84,974,157.35/10,551.36
  6. Step 6: Final answer
    x = 8,053.38

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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.