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Finding the Fourth Proportional to 8,134.77, 11,226.29 and 4,597.77

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Solution

The fourth proportional to 8,134.77, 11,226.29 and 4,597.77 is: 6,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.77 : 11,226.29 = 4,597.77 : x
  2. Step 2: Convert to fraction form
    8,134.77/11,226.29 = 4,597.77/x
  3. Step 3: Cross multiply
    8,134.77x = 11,226.29 × 4,597.77
  4. Step 4: Simplify right side
    8,134.77x = 51,615,876.38
  5. Step 5: Solve for x
    x = 51,615,876.38/8,134.77
  6. Step 6: Final answer
    x = 6,345.09

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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.