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Finding the Fourth Proportional to 10,744.86, 14,828.50 and 6,029.04

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Solution

The fourth proportional to 10,744.86, 14,828.50 and 6,029.04 is: 8,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.86 : 14,828.50 = 6,029.04 : x
  2. Step 2: Convert to fraction form
    10,744.86/14,828.50 = 6,029.04/x
  3. Step 3: Cross multiply
    10,744.86x = 14,828.50 × 6,029.04
  4. Step 4: Simplify right side
    10,744.86x = 89,401,619.64
  5. Step 5: Solve for x
    x = 89,401,619.64/10,744.86
  6. Step 6: Final answer
    x = 8,320.41

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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.