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Finding the Fourth Proportional to 12,507.56, 18,752.03 and 7,576.01

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Solution

The fourth proportional to 12,507.56, 18,752.03 and 7,576.01 is: 11,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.56 : 18,752.03 = 7,576.01 : x
  2. Step 2: Convert to fraction form
    12,507.56/18,752.03 = 7,576.01/x
  3. Step 3: Cross multiply
    12,507.56x = 18,752.03 × 7,576.01
  4. Step 4: Simplify right side
    12,507.56x = 142,065,528.92
  5. Step 5: Solve for x
    x = 142,065,528.92/12,507.56
  6. Step 6: Final answer
    x = 11,358.37

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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.