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Finding the Fourth Proportional to 7,838.60, 10,817.49 and 4,302.04

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Solution

The fourth proportional to 7,838.60, 10,817.49 and 4,302.04 is: 5,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.60 : 10,817.49 = 4,302.04 : x
  2. Step 2: Convert to fraction form
    7,838.60/10,817.49 = 4,302.04/x
  3. Step 3: Cross multiply
    7,838.60x = 10,817.49 × 4,302.04
  4. Step 4: Simplify right side
    7,838.60x = 46,537,274.68
  5. Step 5: Solve for x
    x = 46,537,274.68/7,838.60
  6. Step 6: Final answer
    x = 5,936.94

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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.