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Finding the Fourth Proportional to 8,322.56, 12,479.66 and 2,773.94

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Solution

The fourth proportional to 8,322.56, 12,479.66 and 2,773.94 is: 4,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.56 : 12,479.66 = 2,773.94 : x
  2. Step 2: Convert to fraction form
    8,322.56/12,479.66 = 2,773.94/x
  3. Step 3: Cross multiply
    8,322.56x = 12,479.66 × 2,773.94
  4. Step 4: Simplify right side
    8,322.56x = 34,617,828.06
  5. Step 5: Solve for x
    x = 34,617,828.06/8,322.56
  6. Step 6: Final answer
    x = 4,159.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.