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Finding the Fourth Proportional to 10,594.86, 14,622.06 and 5,879.58

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Solution

The fourth proportional to 10,594.86, 14,622.06 and 5,879.58 is: 8,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.86 : 14,622.06 = 5,879.58 : x
  2. Step 2: Convert to fraction form
    10,594.86/14,622.06 = 5,879.58/x
  3. Step 3: Cross multiply
    10,594.86x = 14,622.06 × 5,879.58
  4. Step 4: Simplify right side
    10,594.86x = 85,971,571.53
  5. Step 5: Solve for x
    x = 85,971,571.53/10,594.86
  6. Step 6: Final answer
    x = 8,114.46

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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.