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Finding the Fourth Proportional to 8,538.40, 12,808.07 and 2,298.55

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Solution

The fourth proportional to 8,538.40, 12,808.07 and 2,298.55 is: 3,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.40 : 12,808.07 = 2,298.55 : x
  2. Step 2: Convert to fraction form
    8,538.40/12,808.07 = 2,298.55/x
  3. Step 3: Cross multiply
    8,538.40x = 12,808.07 × 2,298.55
  4. Step 4: Simplify right side
    8,538.40x = 29,439,977.81
  5. Step 5: Solve for x
    x = 29,439,977.81/8,538.40
  6. Step 6: Final answer
    x = 3,447.95

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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.