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Finding the Fourth Proportional to 8,567.82, 12,822.50 and 7,182.72

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Solution

The fourth proportional to 8,567.82, 12,822.50 and 7,182.72 is: 10,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.82 : 12,822.50 = 7,182.72 : x
  2. Step 2: Convert to fraction form
    8,567.82/12,822.50 = 7,182.72/x
  3. Step 3: Cross multiply
    8,567.82x = 12,822.50 × 7,182.72
  4. Step 4: Simplify right side
    8,567.82x = 92,100,427.20
  5. Step 5: Solve for x
    x = 92,100,427.20/8,567.82
  6. Step 6: Final answer
    x = 10,749.58

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