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Finding the Fourth Proportional to 6,311.48, 8,705.34 and 5,470.68

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Solution

The fourth proportional to 6,311.48, 8,705.34 and 5,470.68 is: 7,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.48 : 8,705.34 = 5,470.68 : x
  2. Step 2: Convert to fraction form
    6,311.48/8,705.34 = 5,470.68/x
  3. Step 3: Cross multiply
    6,311.48x = 8,705.34 × 5,470.68
  4. Step 4: Simplify right side
    6,311.48x = 47,624,129.43
  5. Step 5: Solve for x
    x = 47,624,129.43/6,311.48
  6. Step 6: Final answer
    x = 7,545.64

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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.