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Finding the Fourth Proportional to 10,354.86, 14,289.73 and 5,639.44

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Solution

The fourth proportional to 10,354.86, 14,289.73 and 5,639.44 is: 7,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.86 : 14,289.73 = 5,639.44 : x
  2. Step 2: Convert to fraction form
    10,354.86/14,289.73 = 5,639.44/x
  3. Step 3: Cross multiply
    10,354.86x = 14,289.73 × 5,639.44
  4. Step 4: Simplify right side
    10,354.86x = 80,586,074.95
  5. Step 5: Solve for x
    x = 80,586,074.95/10,354.86
  6. Step 6: Final answer
    x = 7,782.44

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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.