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Finding the Fourth Proportional to 10,130.54, 15,195.81 and 2,735.00

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Solution

The fourth proportional to 10,130.54, 15,195.81 and 2,735.00 is: 4,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.54 : 15,195.81 = 2,735.00 : x
  2. Step 2: Convert to fraction form
    10,130.54/15,195.81 = 2,735.00/x
  3. Step 3: Cross multiply
    10,130.54x = 15,195.81 × 2,735.00
  4. Step 4: Simplify right side
    10,130.54x = 41,560,464.37
  5. Step 5: Solve for x
    x = 41,560,464.37/10,130.54
  6. Step 6: Final answer
    x = 4,102.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.