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Finding the Fourth Proportional to 10,305.94, 14,222.14 and 5,829.73

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Solution

The fourth proportional to 10,305.94, 14,222.14 and 5,829.73 is: 8,045.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.94 : 14,222.14 = 5,829.73 : x
  2. Step 2: Convert to fraction form
    10,305.94/14,222.14 = 5,829.73/x
  3. Step 3: Cross multiply
    10,305.94x = 14,222.14 × 5,829.73
  4. Step 4: Simplify right side
    10,305.94x = 82,911,236.22
  5. Step 5: Solve for x
    x = 82,911,236.22/10,305.94
  6. Step 6: Final answer
    x = 8,045.00

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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.