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Finding the Fourth Proportional to 10,369.94, 14,310.21 and 5,894.18

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Solution

The fourth proportional to 10,369.94, 14,310.21 and 5,894.18 is: 8,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.94 : 14,310.21 = 5,894.18 : x
  2. Step 2: Convert to fraction form
    10,369.94/14,310.21 = 5,894.18/x
  3. Step 3: Cross multiply
    10,369.94x = 14,310.21 × 5,894.18
  4. Step 4: Simplify right side
    10,369.94x = 84,346,953.58
  5. Step 5: Solve for x
    x = 84,346,953.58/10,369.94
  6. Step 6: Final answer
    x = 8,133.79

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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.