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Finding the Fourth Proportional to 7,802.60, 11,697.48 and 3,640.55

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Solution

The fourth proportional to 7,802.60, 11,697.48 and 3,640.55 is: 5,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.60 : 11,697.48 = 3,640.55 : x
  2. Step 2: Convert to fraction form
    7,802.60/11,697.48 = 3,640.55/x
  3. Step 3: Cross multiply
    7,802.60x = 11,697.48 × 3,640.55
  4. Step 4: Simplify right side
    7,802.60x = 42,585,202.33
  5. Step 5: Solve for x
    x = 42,585,202.33/7,802.60
  6. Step 6: Final answer
    x = 5,457.83

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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.