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Finding the Fourth Proportional to 7,642.56, 10,546.40 and 4,500.80

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Solution

The fourth proportional to 7,642.56, 10,546.40 and 4,500.80 is: 6,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.56 : 10,546.40 = 4,500.80 : x
  2. Step 2: Convert to fraction form
    7,642.56/10,546.40 = 4,500.80/x
  3. Step 3: Cross multiply
    7,642.56x = 10,546.40 × 4,500.80
  4. Step 4: Simplify right side
    7,642.56x = 47,467,237.12
  5. Step 5: Solve for x
    x = 47,467,237.12/7,642.56
  6. Step 6: Final answer
    x = 6,210.91

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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.