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Finding the Fourth Proportional to 7,836.66, 10,814.85 and 4,300.07

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Solution

The fourth proportional to 7,836.66, 10,814.85 and 4,300.07 is: 5,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.66 : 10,814.85 = 4,300.07 : x
  2. Step 2: Convert to fraction form
    7,836.66/10,814.85 = 4,300.07/x
  3. Step 3: Cross multiply
    7,836.66x = 10,814.85 × 4,300.07
  4. Step 4: Simplify right side
    7,836.66x = 46,504,557.97
  5. Step 5: Solve for x
    x = 46,504,557.97/7,836.66
  6. Step 6: Final answer
    x = 5,934.23

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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.