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Finding the Fourth Proportional to 7,166.71, 9,889.59 and 4,182.09

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Solution

The fourth proportional to 7,166.71, 9,889.59 and 4,182.09 is: 5,771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.71 : 9,889.59 = 4,182.09 : x
  2. Step 2: Convert to fraction form
    7,166.71/9,889.59 = 4,182.09/x
  3. Step 3: Cross multiply
    7,166.71x = 9,889.59 × 4,182.09
  4. Step 4: Simplify right side
    7,166.71x = 41,359,155.44
  5. Step 5: Solve for x
    x = 41,359,155.44/7,166.71
  6. Step 6: Final answer
    x = 5,771.01

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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.