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Finding the Fourth Proportional to 8,123.13, 12,184.70 and 1,967.13

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Solution

The fourth proportional to 8,123.13, 12,184.70 and 1,967.13 is: 2,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.13 : 12,184.70 = 1,967.13 : x
  2. Step 2: Convert to fraction form
    8,123.13/12,184.70 = 1,967.13/x
  3. Step 3: Cross multiply
    8,123.13x = 12,184.70 × 1,967.13
  4. Step 4: Simplify right side
    8,123.13x = 23,968,888.91
  5. Step 5: Solve for x
    x = 23,968,888.91/8,123.13
  6. Step 6: Final answer
    x = 2,950.70

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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.