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Finding the Fourth Proportional to 7,218.78, 10,832.49 and 4,142.94

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Solution

The fourth proportional to 7,218.78, 10,832.49 and 4,142.94 is: 6,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.78 : 10,832.49 = 4,142.94 : x
  2. Step 2: Convert to fraction form
    7,218.78/10,832.49 = 4,142.94/x
  3. Step 3: Cross multiply
    7,218.78x = 10,832.49 × 4,142.94
  4. Step 4: Simplify right side
    7,218.78x = 44,878,356.12
  5. Step 5: Solve for x
    x = 44,878,356.12/7,218.78
  6. Step 6: Final answer
    x = 6,216.89

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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.