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Finding the Fourth Proportional to 10,829.84, 14,940.65 and 7,286.90

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Solution

The fourth proportional to 10,829.84, 14,940.65 and 7,286.90 is: 10,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.84 : 14,940.65 = 7,286.90 : x
  2. Step 2: Convert to fraction form
    10,829.84/14,940.65 = 7,286.90/x
  3. Step 3: Cross multiply
    10,829.84x = 14,940.65 × 7,286.90
  4. Step 4: Simplify right side
    10,829.84x = 108,870,966.00
  5. Step 5: Solve for x
    x = 108,870,966.00/10,829.84
  6. Step 6: Final answer
    x = 10,052.87

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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.