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Finding the Fourth Proportional to 10,784.26, 14,785.22 and 10,587.43

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Solution

The fourth proportional to 10,784.26, 14,785.22 and 10,587.43 is: 14,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.26 : 14,785.22 = 10,587.43 : x
  2. Step 2: Convert to fraction form
    10,784.26/14,785.22 = 10,587.43/x
  3. Step 3: Cross multiply
    10,784.26x = 14,785.22 × 10,587.43
  4. Step 4: Simplify right side
    10,784.26x = 156,537,481.78
  5. Step 5: Solve for x
    x = 156,537,481.78/10,784.26
  6. Step 6: Final answer
    x = 14,515.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.