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Finding the Fourth Proportional to 11,291.00, 15,582.17 and 6,255.83

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Solution

The fourth proportional to 11,291.00, 15,582.17 and 6,255.83 is: 8,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.00 : 15,582.17 = 6,255.83 : x
  2. Step 2: Convert to fraction form
    11,291.00/15,582.17 = 6,255.83/x
  3. Step 3: Cross multiply
    11,291.00x = 15,582.17 × 6,255.83
  4. Step 4: Simplify right side
    11,291.00x = 97,479,461.15
  5. Step 5: Solve for x
    x = 97,479,461.15/11,291.00
  6. Step 6: Final answer
    x = 8,633.38

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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.