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Finding the Fourth Proportional to 8,285.32, 12,430.02 and 2,441.92

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Solution

The fourth proportional to 8,285.32, 12,430.02 and 2,441.92 is: 3,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.32 : 12,430.02 = 2,441.92 : x
  2. Step 2: Convert to fraction form
    8,285.32/12,430.02 = 2,441.92/x
  3. Step 3: Cross multiply
    8,285.32x = 12,430.02 × 2,441.92
  4. Step 4: Simplify right side
    8,285.32x = 30,353,114.44
  5. Step 5: Solve for x
    x = 30,353,114.44/8,285.32
  6. Step 6: Final answer
    x = 3,663.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.