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Finding the Fourth Proportional to 10,566.86, 14,582.09 and 5,851.04

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Solution

The fourth proportional to 10,566.86, 14,582.09 and 5,851.04 is: 8,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.86 : 14,582.09 = 5,851.04 : x
  2. Step 2: Convert to fraction form
    10,566.86/14,582.09 = 5,851.04/x
  3. Step 3: Cross multiply
    10,566.86x = 14,582.09 × 5,851.04
  4. Step 4: Simplify right side
    10,566.86x = 85,320,355.36
  5. Step 5: Solve for x
    x = 85,320,355.36/10,566.86
  6. Step 6: Final answer
    x = 8,074.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.