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Finding the Fourth Proportional to 8,784.99, 13,175.54 and 2,543.64

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Solution

The fourth proportional to 8,784.99, 13,175.54 and 2,543.64 is: 3,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.99 : 13,175.54 = 2,543.64 : x
  2. Step 2: Convert to fraction form
    8,784.99/13,175.54 = 2,543.64/x
  3. Step 3: Cross multiply
    8,784.99x = 13,175.54 × 2,543.64
  4. Step 4: Simplify right side
    8,784.99x = 33,513,751.97
  5. Step 5: Solve for x
    x = 33,513,751.97/8,784.99
  6. Step 6: Final answer
    x = 3,814.89

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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.