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Finding the Fourth Proportional to 8,735.61, 13,102.46 and 2,495.22

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Solution

The fourth proportional to 8,735.61, 13,102.46 and 2,495.22 is: 3,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.61 : 13,102.46 = 2,495.22 : x
  2. Step 2: Convert to fraction form
    8,735.61/13,102.46 = 2,495.22/x
  3. Step 3: Cross multiply
    8,735.61x = 13,102.46 × 2,495.22
  4. Step 4: Simplify right side
    8,735.61x = 32,693,507.77
  5. Step 5: Solve for x
    x = 32,693,507.77/8,735.61
  6. Step 6: Final answer
    x = 3,742.56

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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.