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Finding the Fourth Proportional to 8,178.98, 12,270.20 and 4,670.64

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Solution

The fourth proportional to 8,178.98, 12,270.20 and 4,670.64 is: 7,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.98 : 12,270.20 = 4,670.64 : x
  2. Step 2: Convert to fraction form
    8,178.98/12,270.20 = 4,670.64/x
  3. Step 3: Cross multiply
    8,178.98x = 12,270.20 × 4,670.64
  4. Step 4: Simplify right side
    8,178.98x = 57,309,663.57
  5. Step 5: Solve for x
    x = 57,309,663.57/8,178.98
  6. Step 6: Final answer
    x = 7,006.95

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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.