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Finding the Fourth Proportional to 8,584.55, 12,877.05 and 2,741.16

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Solution

The fourth proportional to 8,584.55, 12,877.05 and 2,741.16 is: 4,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.55 : 12,877.05 = 2,741.16 : x
  2. Step 2: Convert to fraction form
    8,584.55/12,877.05 = 2,741.16/x
  3. Step 3: Cross multiply
    8,584.55x = 12,877.05 × 2,741.16
  4. Step 4: Simplify right side
    8,584.55x = 35,298,054.38
  5. Step 5: Solve for x
    x = 35,298,054.38/8,584.55
  6. Step 6: Final answer
    x = 4,111.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.