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Finding the Fourth Proportional to 10,512, 14,506.56 and 6,096

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Solution

The fourth proportional to 10,512, 14,506.56 and 6,096 is: 8,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 14,506.56 = 6,096 : x
  2. Step 2: Convert to fraction form
    10,512/14,506.56 = 6,096/x
  3. Step 3: Cross multiply
    10,512x = 14,506.56 × 6,096
  4. Step 4: Simplify right side
    10,512x = 88,431,989.76
  5. Step 5: Solve for x
    x = 88,431,989.76/10,512
  6. Step 6: Final answer
    x = 8,412.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.