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Finding the Fourth Proportional to 10,295.94, 14,212.02 and 6,262.83

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Solution

The fourth proportional to 10,295.94, 14,212.02 and 6,262.83 is: 8,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.94 : 14,212.02 = 6,262.83 : x
  2. Step 2: Convert to fraction form
    10,295.94/14,212.02 = 6,262.83/x
  3. Step 3: Cross multiply
    10,295.94x = 14,212.02 × 6,262.83
  4. Step 4: Simplify right side
    10,295.94x = 89,007,465.22
  5. Step 5: Solve for x
    x = 89,007,465.22/10,295.94
  6. Step 6: Final answer
    x = 8,644.91

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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.