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Finding the Fourth Proportional to 8,485.10, 11,713.46 and 5,657.20

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Solution

The fourth proportional to 8,485.10, 11,713.46 and 5,657.20 is: 7,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.10 : 11,713.46 = 5,657.20 : x
  2. Step 2: Convert to fraction form
    8,485.10/11,713.46 = 5,657.20/x
  3. Step 3: Cross multiply
    8,485.10x = 11,713.46 × 5,657.20
  4. Step 4: Simplify right side
    8,485.10x = 66,265,385.91
  5. Step 5: Solve for x
    x = 66,265,385.91/8,485.10
  6. Step 6: Final answer
    x = 7,809.62

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