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Finding the Fourth Proportional to 7,838.97, 10,817.92 and 4,302.30

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Solution

The fourth proportional to 7,838.97, 10,817.92 and 4,302.30 is: 5,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.97 : 10,817.92 = 4,302.30 : x
  2. Step 2: Convert to fraction form
    7,838.97/10,817.92 = 4,302.30/x
  3. Step 3: Cross multiply
    7,838.97x = 10,817.92 × 4,302.30
  4. Step 4: Simplify right side
    7,838.97x = 46,541,937.22
  5. Step 5: Solve for x
    x = 46,541,937.22/7,838.97
  6. Step 6: Final answer
    x = 5,937.25

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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.