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Finding the Fourth Proportional to 7,705.60, 11,545.60 and 6,604.80

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Solution

The fourth proportional to 7,705.60, 11,545.60 and 6,604.80 is: 9,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.60 : 11,545.60 = 6,604.80 : x
  2. Step 2: Convert to fraction form
    7,705.60/11,545.60 = 6,604.80/x
  3. Step 3: Cross multiply
    7,705.60x = 11,545.60 × 6,604.80
  4. Step 4: Simplify right side
    7,705.60x = 76,256,378.88
  5. Step 5: Solve for x
    x = 76,256,378.88/7,705.60
  6. Step 6: Final answer
    x = 9,896.23

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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.