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Finding the Fourth Proportional to 8,093.60, 11,346.40 and 8,093.60

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Solution

The fourth proportional to 8,093.60, 11,346.40 and 8,093.60 is: 11,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.60 : 11,346.40 = 8,093.60 : x
  2. Step 2: Convert to fraction form
    8,093.60/11,346.40 = 8,093.60/x
  3. Step 3: Cross multiply
    8,093.60x = 11,346.40 × 8,093.60
  4. Step 4: Simplify right side
    8,093.60x = 91,833,223.04
  5. Step 5: Solve for x
    x = 91,833,223.04/8,093.60
  6. Step 6: Final answer
    x = 11,346.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.