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Finding the Fourth Proportional to 8,057.34, 12,076.70 and 4,104.81

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Solution

The fourth proportional to 8,057.34, 12,076.70 and 4,104.81 is: 6,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.34 : 12,076.70 = 4,104.81 : x
  2. Step 2: Convert to fraction form
    8,057.34/12,076.70 = 4,104.81/x
  3. Step 3: Cross multiply
    8,057.34x = 12,076.70 × 4,104.81
  4. Step 4: Simplify right side
    8,057.34x = 49,572,538.40
  5. Step 5: Solve for x
    x = 49,572,538.40/8,057.34
  6. Step 6: Final answer
    x = 6,152.47

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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.