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Finding the Fourth Proportional to 8,278.84, 11,426.22 and 5,624.44

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Solution

The fourth proportional to 8,278.84, 11,426.22 and 5,624.44 is: 7,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.84 : 11,426.22 = 5,624.44 : x
  2. Step 2: Convert to fraction form
    8,278.84/11,426.22 = 5,624.44/x
  3. Step 3: Cross multiply
    8,278.84x = 11,426.22 × 5,624.44
  4. Step 4: Simplify right side
    8,278.84x = 64,266,088.82
  5. Step 5: Solve for x
    x = 64,266,088.82/8,278.84
  6. Step 6: Final answer
    x = 7,762.69

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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.