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Finding the Fourth Proportional to 10,467.64, 15,701.10 and 2,676.52

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Solution

The fourth proportional to 10,467.64, 15,701.10 and 2,676.52 is: 4,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.64 : 15,701.10 = 2,676.52 : x
  2. Step 2: Convert to fraction form
    10,467.64/15,701.10 = 2,676.52/x
  3. Step 3: Cross multiply
    10,467.64x = 15,701.10 × 2,676.52
  4. Step 4: Simplify right side
    10,467.64x = 42,024,308.17
  5. Step 5: Solve for x
    x = 42,024,308.17/10,467.64
  6. Step 6: Final answer
    x = 4,014.69

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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.