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Finding the Fourth Proportional to 8,254.35, 11,400.39 and 5,597.13

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Solution

The fourth proportional to 8,254.35, 11,400.39 and 5,597.13 is: 7,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.35 : 11,400.39 = 5,597.13 : x
  2. Step 2: Convert to fraction form
    8,254.35/11,400.39 = 5,597.13/x
  3. Step 3: Cross multiply
    8,254.35x = 11,400.39 × 5,597.13
  4. Step 4: Simplify right side
    8,254.35x = 63,809,464.88
  5. Step 5: Solve for x
    x = 63,809,464.88/8,254.35
  6. Step 6: Final answer
    x = 7,730.40

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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.