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Finding the Fourth Proportional to 6,795.72, 10,180.62 and 4,842

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Solution

The fourth proportional to 6,795.72, 10,180.62 and 4,842 is: 7,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.72 : 10,180.62 = 4,842 : x
  2. Step 2: Convert to fraction form
    6,795.72/10,180.62 = 4,842/x
  3. Step 3: Cross multiply
    6,795.72x = 10,180.62 × 4,842
  4. Step 4: Simplify right side
    6,795.72x = 49,294,562.04
  5. Step 5: Solve for x
    x = 49,294,562.04/6,795.72
  6. Step 6: Final answer
    x = 7,253.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.