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Finding the Fourth Proportional to 8,495.47, 12,743.20 and 2,652.58

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Solution

The fourth proportional to 8,495.47, 12,743.20 and 2,652.58 is: 3,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.47 : 12,743.20 = 2,652.58 : x
  2. Step 2: Convert to fraction form
    8,495.47/12,743.20 = 2,652.58/x
  3. Step 3: Cross multiply
    8,495.47x = 12,743.20 × 2,652.58
  4. Step 4: Simplify right side
    8,495.47x = 33,802,325.60
  5. Step 5: Solve for x
    x = 33,802,325.60/8,495.47
  6. Step 6: Final answer
    x = 3,978.87

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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.