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Finding the Fourth Proportional to 7,614.51, 11,428.69 and 5,289.46

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Solution

The fourth proportional to 7,614.51, 11,428.69 and 5,289.46 is: 7,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.51 : 11,428.69 = 5,289.46 : x
  2. Step 2: Convert to fraction form
    7,614.51/11,428.69 = 5,289.46/x
  3. Step 3: Cross multiply
    7,614.51x = 11,428.69 × 5,289.46
  4. Step 4: Simplify right side
    7,614.51x = 60,451,606.31
  5. Step 5: Solve for x
    x = 60,451,606.31/7,614.51
  6. Step 6: Final answer
    x = 7,939.00

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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.