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Finding the Fourth Proportional to 7,009.56, 10,511.38 and 3,846.20

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Solution

The fourth proportional to 7,009.56, 10,511.38 and 3,846.20 is: 5,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.56 : 10,511.38 = 3,846.20 : x
  2. Step 2: Convert to fraction form
    7,009.56/10,511.38 = 3,846.20/x
  3. Step 3: Cross multiply
    7,009.56x = 10,511.38 × 3,846.20
  4. Step 4: Simplify right side
    7,009.56x = 40,428,869.76
  5. Step 5: Solve for x
    x = 40,428,869.76/7,009.56
  6. Step 6: Final answer
    x = 5,767.68

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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.