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Finding the Fourth Proportional to 7,703.94, 11,554.14 and 3,022.41

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Solution

The fourth proportional to 7,703.94, 11,554.14 and 3,022.41 is: 4,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.94 : 11,554.14 = 3,022.41 : x
  2. Step 2: Convert to fraction form
    7,703.94/11,554.14 = 3,022.41/x
  3. Step 3: Cross multiply
    7,703.94x = 11,554.14 × 3,022.41
  4. Step 4: Simplify right side
    7,703.94x = 34,921,348.28
  5. Step 5: Solve for x
    x = 34,921,348.28/7,703.94
  6. Step 6: Final answer
    x = 4,532.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.