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Finding the Fourth Proportional to 7,260.81, 10,886.73 and 3,098.49

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Solution

The fourth proportional to 7,260.81, 10,886.73 and 3,098.49 is: 4,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.81 : 10,886.73 = 3,098.49 : x
  2. Step 2: Convert to fraction form
    7,260.81/10,886.73 = 3,098.49/x
  3. Step 3: Cross multiply
    7,260.81x = 10,886.73 × 3,098.49
  4. Step 4: Simplify right side
    7,260.81x = 33,732,424.04
  5. Step 5: Solve for x
    x = 33,732,424.04/7,260.81
  6. Step 6: Final answer
    x = 4,645.82

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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.