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Finding the Fourth Proportional to 10,582.83, 14,604.75 and 5,866.77

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Solution

The fourth proportional to 10,582.83, 14,604.75 and 5,866.77 is: 8,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.83 : 14,604.75 = 5,866.77 : x
  2. Step 2: Convert to fraction form
    10,582.83/14,604.75 = 5,866.77/x
  3. Step 3: Cross multiply
    10,582.83x = 14,604.75 × 5,866.77
  4. Step 4: Simplify right side
    10,582.83x = 85,682,709.16
  5. Step 5: Solve for x
    x = 85,682,709.16/10,582.83
  6. Step 6: Final answer
    x = 8,096.39

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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.