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Finding the Fourth Proportional to 10,829.88, 14,901.84 and 8,310.96

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Solution

The fourth proportional to 10,829.88, 14,901.84 and 8,310.96 is: 11,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.88 : 14,901.84 = 8,310.96 : x
  2. Step 2: Convert to fraction form
    10,829.88/14,901.84 = 8,310.96/x
  3. Step 3: Cross multiply
    10,829.88x = 14,901.84 × 8,310.96
  4. Step 4: Simplify right side
    10,829.88x = 123,848,596.17
  5. Step 5: Solve for x
    x = 123,848,596.17/10,829.88
  6. Step 6: Final answer
    x = 11,435.82

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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.