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Finding the Fourth Proportional to 10,076.57, 15,114.87 and 3,056.51

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Solution

The fourth proportional to 10,076.57, 15,114.87 and 3,056.51 is: 4,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.57 : 15,114.87 = 3,056.51 : x
  2. Step 2: Convert to fraction form
    10,076.57/15,114.87 = 3,056.51/x
  3. Step 3: Cross multiply
    10,076.57x = 15,114.87 × 3,056.51
  4. Step 4: Simplify right side
    10,076.57x = 46,198,751.30
  5. Step 5: Solve for x
    x = 46,198,751.30/10,076.57
  6. Step 6: Final answer
    x = 4,584.77

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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.