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Finding the Fourth Proportional to 10,744.92, 14,827.95 and 6,029.19

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Solution

The fourth proportional to 10,744.92, 14,827.95 and 6,029.19 is: 8,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.92 : 14,827.95 = 6,029.19 : x
  2. Step 2: Convert to fraction form
    10,744.92/14,827.95 = 6,029.19/x
  3. Step 3: Cross multiply
    10,744.92x = 14,827.95 × 6,029.19
  4. Step 4: Simplify right side
    10,744.92x = 89,400,527.86
  5. Step 5: Solve for x
    x = 89,400,527.86/10,744.92
  6. Step 6: Final answer
    x = 8,320.26

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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.