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Finding the Fourth Proportional to 8,322.56, 12,482.56 and 2,478.24

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Solution

The fourth proportional to 8,322.56, 12,482.56 and 2,478.24 is: 3,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.56 : 12,482.56 = 2,478.24 : x
  2. Step 2: Convert to fraction form
    8,322.56/12,482.56 = 2,478.24/x
  3. Step 3: Cross multiply
    8,322.56x = 12,482.56 × 2,478.24
  4. Step 4: Simplify right side
    8,322.56x = 30,934,779.49
  5. Step 5: Solve for x
    x = 30,934,779.49/8,322.56
  6. Step 6: Final answer
    x = 3,716.98

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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.