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Finding the Fourth Proportional to 7,827.43, 10,801.83 and 4,242.49

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Solution

The fourth proportional to 7,827.43, 10,801.83 and 4,242.49 is: 5,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.43 : 10,801.83 = 4,242.49 : x
  2. Step 2: Convert to fraction form
    7,827.43/10,801.83 = 4,242.49/x
  3. Step 3: Cross multiply
    7,827.43x = 10,801.83 × 4,242.49
  4. Step 4: Simplify right side
    7,827.43x = 45,826,655.76
  5. Step 5: Solve for x
    x = 45,826,655.76/7,827.43
  6. Step 6: Final answer
    x = 5,854.62

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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.