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Finding the Fourth Proportional to 7,246.71, 10,869.33 and 1,982.19

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Solution

The fourth proportional to 7,246.71, 10,869.33 and 1,982.19 is: 2,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.71 : 10,869.33 = 1,982.19 : x
  2. Step 2: Convert to fraction form
    7,246.71/10,869.33 = 1,982.19/x
  3. Step 3: Cross multiply
    7,246.71x = 10,869.33 × 1,982.19
  4. Step 4: Simplify right side
    7,246.71x = 21,545,077.23
  5. Step 5: Solve for x
    x = 21,545,077.23/7,246.71
  6. Step 6: Final answer
    x = 2,973.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.