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Finding the Fourth Proportional to 8,538.13, 12,806.16 and 2,298.70

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Solution

The fourth proportional to 8,538.13, 12,806.16 and 2,298.70 is: 3,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.13 : 12,806.16 = 2,298.70 : x
  2. Step 2: Convert to fraction form
    8,538.13/12,806.16 = 2,298.70/x
  3. Step 3: Cross multiply
    8,538.13x = 12,806.16 × 2,298.70
  4. Step 4: Simplify right side
    8,538.13x = 29,437,519.99
  5. Step 5: Solve for x
    x = 29,437,519.99/8,538.13
  6. Step 6: Final answer
    x = 3,447.77

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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.