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Finding the Fourth Proportional to 7,850.12, 10,828.66 and 4,901

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Solution

The fourth proportional to 7,850.12, 10,828.66 and 4,901 is: 6,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.12 : 10,828.66 = 4,901 : x
  2. Step 2: Convert to fraction form
    7,850.12/10,828.66 = 4,901/x
  3. Step 3: Cross multiply
    7,850.12x = 10,828.66 × 4,901
  4. Step 4: Simplify right side
    7,850.12x = 53,071,262.66
  5. Step 5: Solve for x
    x = 53,071,262.66/7,850.12
  6. Step 6: Final answer
    x = 6,760.57

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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.