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Finding the Fourth Proportional to 11,756.34, 17,637.46 and 5,428.16

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Solution

The fourth proportional to 11,756.34, 17,637.46 and 5,428.16 is: 8,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.34 : 17,637.46 = 5,428.16 : x
  2. Step 2: Convert to fraction form
    11,756.34/17,637.46 = 5,428.16/x
  3. Step 3: Cross multiply
    11,756.34x = 17,637.46 × 5,428.16
  4. Step 4: Simplify right side
    11,756.34x = 95,738,954.87
  5. Step 5: Solve for x
    x = 95,738,954.87/11,756.34
  6. Step 6: Final answer
    x = 8,143.60

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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.