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Finding the Fourth Proportional to 11,743.73, 16,205.83 and 7,030.61

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Solution

The fourth proportional to 11,743.73, 16,205.83 and 7,030.61 is: 9,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.73 : 16,205.83 = 7,030.61 : x
  2. Step 2: Convert to fraction form
    11,743.73/16,205.83 = 7,030.61/x
  3. Step 3: Cross multiply
    11,743.73x = 16,205.83 × 7,030.61
  4. Step 4: Simplify right side
    11,743.73x = 113,936,870.46
  5. Step 5: Solve for x
    x = 113,936,870.46/11,743.73
  6. Step 6: Final answer
    x = 9,701.93

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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.