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Finding the Fourth Proportional to 7,836.78, 10,814.70 and 4,300

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Solution

The fourth proportional to 7,836.78, 10,814.70 and 4,300 is: 5,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.78 : 10,814.70 = 4,300 : x
  2. Step 2: Convert to fraction form
    7,836.78/10,814.70 = 4,300/x
  3. Step 3: Cross multiply
    7,836.78x = 10,814.70 × 4,300
  4. Step 4: Simplify right side
    7,836.78x = 46,503,210
  5. Step 5: Solve for x
    x = 46,503,210/7,836.78
  6. Step 6: Final answer
    x = 5,933.97

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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.