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Finding the Fourth Proportional to 7,838.85, 10,817.58 and 4,302.12

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Solution

The fourth proportional to 7,838.85, 10,817.58 and 4,302.12 is: 5,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.85 : 10,817.58 = 4,302.12 : x
  2. Step 2: Convert to fraction form
    7,838.85/10,817.58 = 4,302.12/x
  3. Step 3: Cross multiply
    7,838.85x = 10,817.58 × 4,302.12
  4. Step 4: Simplify right side
    7,838.85x = 46,538,527.27
  5. Step 5: Solve for x
    x = 46,538,527.27/7,838.85
  6. Step 6: Final answer
    x = 5,936.91

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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.