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Finding the Fourth Proportional to 8,188.48, 11,300.34 and 4,651.60

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Solution

The fourth proportional to 8,188.48, 11,300.34 and 4,651.60 is: 6,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.48 : 11,300.34 = 4,651.60 : x
  2. Step 2: Convert to fraction form
    8,188.48/11,300.34 = 4,651.60/x
  3. Step 3: Cross multiply
    8,188.48x = 11,300.34 × 4,651.60
  4. Step 4: Simplify right side
    8,188.48x = 52,564,661.54
  5. Step 5: Solve for x
    x = 52,564,661.54/8,188.48
  6. Step 6: Final answer
    x = 6,419.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.