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Finding the Fourth Proportional to 10,756.57, 14,842.47 and 6,039.94

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Solution

The fourth proportional to 10,756.57, 14,842.47 and 6,039.94 is: 8,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.57 : 14,842.47 = 6,039.94 : x
  2. Step 2: Convert to fraction form
    10,756.57/14,842.47 = 6,039.94/x
  3. Step 3: Cross multiply
    10,756.57x = 14,842.47 × 6,039.94
  4. Step 4: Simplify right side
    10,756.57x = 89,647,628.25
  5. Step 5: Solve for x
    x = 89,647,628.25/10,756.57
  6. Step 6: Final answer
    x = 8,334.22

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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.