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Finding the Fourth Proportional to 8,178.72, 12,262.56 and 2,630.40

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Solution

The fourth proportional to 8,178.72, 12,262.56 and 2,630.40 is: 3,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.72 : 12,262.56 = 2,630.40 : x
  2. Step 2: Convert to fraction form
    8,178.72/12,262.56 = 2,630.40/x
  3. Step 3: Cross multiply
    8,178.72x = 12,262.56 × 2,630.40
  4. Step 4: Simplify right side
    8,178.72x = 32,255,437.82
  5. Step 5: Solve for x
    x = 32,255,437.82/8,178.72
  6. Step 6: Final answer
    x = 3,943.82

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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.