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Finding the Fourth Proportional to 10,821.75, 14,934.02 and 6,105.93

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Solution

The fourth proportional to 10,821.75, 14,934.02 and 6,105.93 is: 8,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.75 : 14,934.02 = 6,105.93 : x
  2. Step 2: Convert to fraction form
    10,821.75/14,934.02 = 6,105.93/x
  3. Step 3: Cross multiply
    10,821.75x = 14,934.02 × 6,105.93
  4. Step 4: Simplify right side
    10,821.75x = 91,186,050.21
  5. Step 5: Solve for x
    x = 91,186,050.21/10,821.75
  6. Step 6: Final answer
    x = 8,426.18

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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.