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Finding the Fourth Proportional to 7,482.56, 11,222.57 and 2,217.47

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Solution

The fourth proportional to 7,482.56, 11,222.57 and 2,217.47 is: 3,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.56 : 11,222.57 = 2,217.47 : x
  2. Step 2: Convert to fraction form
    7,482.56/11,222.57 = 2,217.47/x
  3. Step 3: Cross multiply
    7,482.56x = 11,222.57 × 2,217.47
  4. Step 4: Simplify right side
    7,482.56x = 24,885,645.10
  5. Step 5: Solve for x
    x = 24,885,645.10/7,482.56
  6. Step 6: Final answer
    x = 3,325.82

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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.