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Finding the Fourth Proportional to 10,435.75, 14,400.54 and 5,958.89

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Solution

The fourth proportional to 10,435.75, 14,400.54 and 5,958.89 is: 8,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.75 : 14,400.54 = 5,958.89 : x
  2. Step 2: Convert to fraction form
    10,435.75/14,400.54 = 5,958.89/x
  3. Step 3: Cross multiply
    10,435.75x = 14,400.54 × 5,958.89
  4. Step 4: Simplify right side
    10,435.75x = 85,811,260.49
  5. Step 5: Solve for x
    x = 85,811,260.49/10,435.75
  6. Step 6: Final answer
    x = 8,222.82

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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.