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Finding the Fourth Proportional to 7,838.67, 10,817.45 and 4,302.02

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Solution

The fourth proportional to 7,838.67, 10,817.45 and 4,302.02 is: 5,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.67 : 10,817.45 = 4,302.02 : x
  2. Step 2: Convert to fraction form
    7,838.67/10,817.45 = 4,302.02/x
  3. Step 3: Cross multiply
    7,838.67x = 10,817.45 × 4,302.02
  4. Step 4: Simplify right side
    7,838.67x = 46,536,810.65
  5. Step 5: Solve for x
    x = 46,536,810.65/7,838.67
  6. Step 6: Final answer
    x = 5,936.82

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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.