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Finding the Fourth Proportional to 7,744.95, 10,688.09 and 4,558.41

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Solution

The fourth proportional to 7,744.95, 10,688.09 and 4,558.41 is: 6,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.95 : 10,688.09 = 4,558.41 : x
  2. Step 2: Convert to fraction form
    7,744.95/10,688.09 = 4,558.41/x
  3. Step 3: Cross multiply
    7,744.95x = 10,688.09 × 4,558.41
  4. Step 4: Simplify right side
    7,744.95x = 48,720,673.54
  5. Step 5: Solve for x
    x = 48,720,673.54/7,744.95
  6. Step 6: Final answer
    x = 6,290.64

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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.