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Finding the Fourth Proportional to 7,838.64, 10,817.15 and 4,301.78

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Solution

The fourth proportional to 7,838.64, 10,817.15 and 4,301.78 is: 5,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.64 : 10,817.15 = 4,301.78 : x
  2. Step 2: Convert to fraction form
    7,838.64/10,817.15 = 4,301.78/x
  3. Step 3: Cross multiply
    7,838.64x = 10,817.15 × 4,301.78
  4. Step 4: Simplify right side
    7,838.64x = 46,532,923.93
  5. Step 5: Solve for x
    x = 46,532,923.93/7,838.64
  6. Step 6: Final answer
    x = 5,936.35

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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.