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Finding the Fourth Proportional to 8,322.13, 12,482.51 and 2,478.74

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Solution

The fourth proportional to 8,322.13, 12,482.51 and 2,478.74 is: 3,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.13 : 12,482.51 = 2,478.74 : x
  2. Step 2: Convert to fraction form
    8,322.13/12,482.51 = 2,478.74/x
  3. Step 3: Cross multiply
    8,322.13x = 12,482.51 × 2,478.74
  4. Step 4: Simplify right side
    8,322.13x = 30,940,822.03
  5. Step 5: Solve for x
    x = 30,940,822.03/8,322.13
  6. Step 6: Final answer
    x = 3,717.90

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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.