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Finding the Fourth Proportional to 25,145.08, 37,717.62 and 7,615

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Solution

The fourth proportional to 25,145.08, 37,717.62 and 7,615 is: 11,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145.08 : 37,717.62 = 7,615 : x
  2. Step 2: Convert to fraction form
    25,145.08/37,717.62 = 7,615/x
  3. Step 3: Cross multiply
    25,145.08x = 37,717.62 × 7,615
  4. Step 4: Simplify right side
    25,145.08x = 287,219,676.30
  5. Step 5: Solve for x
    x = 287,219,676.30/25,145.08
  6. Step 6: Final answer
    x = 11,422.50

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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.