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Finding the Fourth Proportional to 10,153.96, 15,209.34 and 5,989.48

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Solution

The fourth proportional to 10,153.96, 15,209.34 and 5,989.48 is: 8,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.96 : 15,209.34 = 5,989.48 : x
  2. Step 2: Convert to fraction form
    10,153.96/15,209.34 = 5,989.48/x
  3. Step 3: Cross multiply
    10,153.96x = 15,209.34 × 5,989.48
  4. Step 4: Simplify right side
    10,153.96x = 91,096,037.74
  5. Step 5: Solve for x
    x = 91,096,037.74/10,153.96
  6. Step 6: Final answer
    x = 8,971.48

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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.