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Finding the Fourth Proportional to 7,845.96, 10,827.49 and 4,488.57

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Solution

The fourth proportional to 7,845.96, 10,827.49 and 4,488.57 is: 6,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.96 : 10,827.49 = 4,488.57 : x
  2. Step 2: Convert to fraction form
    7,845.96/10,827.49 = 4,488.57/x
  3. Step 3: Cross multiply
    7,845.96x = 10,827.49 × 4,488.57
  4. Step 4: Simplify right side
    7,845.96x = 48,599,935.57
  5. Step 5: Solve for x
    x = 48,599,935.57/7,845.96
  6. Step 6: Final answer
    x = 6,194.26

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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.