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Finding the Fourth Proportional to 10,859.50, 14,986.11 and 5,891.50

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Solution

The fourth proportional to 10,859.50, 14,986.11 and 5,891.50 is: 8,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.50 : 14,986.11 = 5,891.50 : x
  2. Step 2: Convert to fraction form
    10,859.50/14,986.11 = 5,891.50/x
  3. Step 3: Cross multiply
    10,859.50x = 14,986.11 × 5,891.50
  4. Step 4: Simplify right side
    10,859.50x = 88,290,667.07
  5. Step 5: Solve for x
    x = 88,290,667.07/10,859.50
  6. Step 6: Final answer
    x = 8,130.27

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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.