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Finding the Fourth Proportional to 7,160.62, 9,881.73 and 4,178.26

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Solution

The fourth proportional to 7,160.62, 9,881.73 and 4,178.26 is: 5,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.62 : 9,881.73 = 4,178.26 : x
  2. Step 2: Convert to fraction form
    7,160.62/9,881.73 = 4,178.26/x
  3. Step 3: Cross multiply
    7,160.62x = 9,881.73 × 4,178.26
  4. Step 4: Simplify right side
    7,160.62x = 41,288,437.19
  5. Step 5: Solve for x
    x = 41,288,437.19/7,160.62
  6. Step 6: Final answer
    x = 5,766.04

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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.