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Finding the Fourth Proportional to 8,189.40, 11,303.60 and 6,595.32

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Solution

The fourth proportional to 8,189.40, 11,303.60 and 6,595.32 is: 9,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.40 : 11,303.60 = 6,595.32 : x
  2. Step 2: Convert to fraction form
    8,189.40/11,303.60 = 6,595.32/x
  3. Step 3: Cross multiply
    8,189.40x = 11,303.60 × 6,595.32
  4. Step 4: Simplify right side
    8,189.40x = 74,550,859.15
  5. Step 5: Solve for x
    x = 74,550,859.15/8,189.40
  6. Step 6: Final answer
    x = 9,103.34

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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.