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Finding the Fourth Proportional to 8,096.00, 11,172.38 and 4,740.55

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Solution

The fourth proportional to 8,096.00, 11,172.38 and 4,740.55 is: 6,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.00 : 11,172.38 = 4,740.55 : x
  2. Step 2: Convert to fraction form
    8,096.00/11,172.38 = 4,740.55/x
  3. Step 3: Cross multiply
    8,096.00x = 11,172.38 × 4,740.55
  4. Step 4: Simplify right side
    8,096.00x = 52,963,232.46
  5. Step 5: Solve for x
    x = 52,963,232.46/8,096.00
  6. Step 6: Final answer
    x = 6,541.90

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Why These Related Problems?

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