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Finding the Fourth Proportional to 7,889.58, 11,828.14 and 3,938.81

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Solution

The fourth proportional to 7,889.58, 11,828.14 and 3,938.81 is: 5,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.58 : 11,828.14 = 3,938.81 : x
  2. Step 2: Convert to fraction form
    7,889.58/11,828.14 = 3,938.81/x
  3. Step 3: Cross multiply
    7,889.58x = 11,828.14 × 3,938.81
  4. Step 4: Simplify right side
    7,889.58x = 46,588,727.13
  5. Step 5: Solve for x
    x = 46,588,727.13/7,889.58
  6. Step 6: Final answer
    x = 5,905.10

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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.