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Finding the Fourth Proportional to 8,284.74, 11,429.87 and 4,927.69

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Solution

The fourth proportional to 8,284.74, 11,429.87 and 4,927.69 is: 6,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.74 : 11,429.87 = 4,927.69 : x
  2. Step 2: Convert to fraction form
    8,284.74/11,429.87 = 4,927.69/x
  3. Step 3: Cross multiply
    8,284.74x = 11,429.87 × 4,927.69
  4. Step 4: Simplify right side
    8,284.74x = 56,322,856.10
  5. Step 5: Solve for x
    x = 56,322,856.10/8,284.74
  6. Step 6: Final answer
    x = 6,798.39

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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.