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Finding the Fourth Proportional to 8,295.60, 12,430.80 and 6,093.84

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Solution

The fourth proportional to 8,295.60, 12,430.80 and 6,093.84 is: 9,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.60 : 12,430.80 = 6,093.84 : x
  2. Step 2: Convert to fraction form
    8,295.60/12,430.80 = 6,093.84/x
  3. Step 3: Cross multiply
    8,295.60x = 12,430.80 × 6,093.84
  4. Step 4: Simplify right side
    8,295.60x = 75,751,306.27
  5. Step 5: Solve for x
    x = 75,751,306.27/8,295.60
  6. Step 6: Final answer
    x = 9,131.50

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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.