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Finding the Fourth Proportional to 10,188.35, 14,059.73 and 5,651

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Solution

The fourth proportional to 10,188.35, 14,059.73 and 5,651 is: 7,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.35 : 14,059.73 = 5,651 : x
  2. Step 2: Convert to fraction form
    10,188.35/14,059.73 = 5,651/x
  3. Step 3: Cross multiply
    10,188.35x = 14,059.73 × 5,651
  4. Step 4: Simplify right side
    10,188.35x = 79,451,505.98
  5. Step 5: Solve for x
    x = 79,451,505.98/10,188.35
  6. Step 6: Final answer
    x = 7,798.27

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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.