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Finding the Fourth Proportional to 8,155.74, 11,254.96 and 4,619.64

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Solution

The fourth proportional to 8,155.74, 11,254.96 and 4,619.64 is: 6,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.74 : 11,254.96 = 4,619.64 : x
  2. Step 2: Convert to fraction form
    8,155.74/11,254.96 = 4,619.64/x
  3. Step 3: Cross multiply
    8,155.74x = 11,254.96 × 4,619.64
  4. Step 4: Simplify right side
    8,155.74x = 51,993,863.41
  5. Step 5: Solve for x
    x = 51,993,863.41/8,155.74
  6. Step 6: Final answer
    x = 6,375.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.