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Finding the Fourth Proportional to 7,160.36, 9,881.32 and 4,016.56

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Solution

The fourth proportional to 7,160.36, 9,881.32 and 4,016.56 is: 5,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.36 : 9,881.32 = 4,016.56 : x
  2. Step 2: Convert to fraction form
    7,160.36/9,881.32 = 4,016.56/x
  3. Step 3: Cross multiply
    7,160.36x = 9,881.32 × 4,016.56
  4. Step 4: Simplify right side
    7,160.36x = 39,688,914.66
  5. Step 5: Solve for x
    x = 39,688,914.66/7,160.36
  6. Step 6: Final answer
    x = 5,542.87

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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.