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Finding the Fourth Proportional to 7,042.14, 10,563.81 and 1,848

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Solution

The fourth proportional to 7,042.14, 10,563.81 and 1,848 is: 2,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.14 : 10,563.81 = 1,848 : x
  2. Step 2: Convert to fraction form
    7,042.14/10,563.81 = 1,848/x
  3. Step 3: Cross multiply
    7,042.14x = 10,563.81 × 1,848
  4. Step 4: Simplify right side
    7,042.14x = 19,521,920.88
  5. Step 5: Solve for x
    x = 19,521,920.88/7,042.14
  6. Step 6: Final answer
    x = 2,772.16

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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.