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Finding the Fourth Proportional to 7,838.79, 10,817.67 and 4,302.33

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Solution

The fourth proportional to 7,838.79, 10,817.67 and 4,302.33 is: 5,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.79 : 10,817.67 = 4,302.33 : x
  2. Step 2: Convert to fraction form
    7,838.79/10,817.67 = 4,302.33/x
  3. Step 3: Cross multiply
    7,838.79x = 10,817.67 × 4,302.33
  4. Step 4: Simplify right side
    7,838.79x = 46,541,186.17
  5. Step 5: Solve for x
    x = 46,541,186.17/7,838.79
  6. Step 6: Final answer
    x = 5,937.29

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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.