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Finding the Fourth Proportional to 7,564.66, 10,439.49 and 4,420.78

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Solution

The fourth proportional to 7,564.66, 10,439.49 and 4,420.78 is: 6,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.66 : 10,439.49 = 4,420.78 : x
  2. Step 2: Convert to fraction form
    7,564.66/10,439.49 = 4,420.78/x
  3. Step 3: Cross multiply
    7,564.66x = 10,439.49 × 4,420.78
  4. Step 4: Simplify right side
    7,564.66x = 46,150,688.60
  5. Step 5: Solve for x
    x = 46,150,688.60/7,564.66
  6. Step 6: Final answer
    x = 6,100.83

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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.