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Finding the Fourth Proportional to 8,465.60, 12,687.60 and 7,536.80

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Solution

The fourth proportional to 8,465.60, 12,687.60 and 7,536.80 is: 11,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.60 : 12,687.60 = 7,536.80 : x
  2. Step 2: Convert to fraction form
    8,465.60/12,687.60 = 7,536.80/x
  3. Step 3: Cross multiply
    8,465.60x = 12,687.60 × 7,536.80
  4. Step 4: Simplify right side
    8,465.60x = 95,623,903.68
  5. Step 5: Solve for x
    x = 95,623,903.68/8,465.60
  6. Step 6: Final answer
    x = 11,295.58

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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.