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Finding the Fourth Proportional to 8,356.16, 12,532.22 and 2,431.45

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Solution

The fourth proportional to 8,356.16, 12,532.22 and 2,431.45 is: 3,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.16 : 12,532.22 = 2,431.45 : x
  2. Step 2: Convert to fraction form
    8,356.16/12,532.22 = 2,431.45/x
  3. Step 3: Cross multiply
    8,356.16x = 12,532.22 × 2,431.45
  4. Step 4: Simplify right side
    8,356.16x = 30,471,478.94
  5. Step 5: Solve for x
    x = 30,471,478.94/8,356.16
  6. Step 6: Final answer
    x = 3,646.59

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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.