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Finding the Fourth Proportional to 8,431.54, 12,644.58 and 2,807.70

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Solution

The fourth proportional to 8,431.54, 12,644.58 and 2,807.70 is: 4,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.54 : 12,644.58 = 2,807.70 : x
  2. Step 2: Convert to fraction form
    8,431.54/12,644.58 = 2,807.70/x
  3. Step 3: Cross multiply
    8,431.54x = 12,644.58 × 2,807.70
  4. Step 4: Simplify right side
    8,431.54x = 35,502,187.27
  5. Step 5: Solve for x
    x = 35,502,187.27/8,431.54
  6. Step 6: Final answer
    x = 4,210.64

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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.