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Finding the Fourth Proportional to 8,624.82, 12,927.87 and 5,662.02

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Solution

The fourth proportional to 8,624.82, 12,927.87 and 5,662.02 is: 8,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.82 : 12,927.87 = 5,662.02 : x
  2. Step 2: Convert to fraction form
    8,624.82/12,927.87 = 5,662.02/x
  3. Step 3: Cross multiply
    8,624.82x = 12,927.87 × 5,662.02
  4. Step 4: Simplify right side
    8,624.82x = 73,197,858.50
  5. Step 5: Solve for x
    x = 73,197,858.50/8,624.82
  6. Step 6: Final answer
    x = 8,486.89

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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.