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Finding the Fourth Proportional to 10,754.84, 14,842.42 and 6,039.48

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Solution

The fourth proportional to 10,754.84, 14,842.42 and 6,039.48 is: 8,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.84 : 14,842.42 = 6,039.48 : x
  2. Step 2: Convert to fraction form
    10,754.84/14,842.42 = 6,039.48/x
  3. Step 3: Cross multiply
    10,754.84x = 14,842.42 × 6,039.48
  4. Step 4: Simplify right side
    10,754.84x = 89,640,498.74
  5. Step 5: Solve for x
    x = 89,640,498.74/10,754.84
  6. Step 6: Final answer
    x = 8,334.90

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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.