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Finding the Fourth Proportional to 8,141.56, 12,214.17 and 3,465.56

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Solution

The fourth proportional to 8,141.56, 12,214.17 and 3,465.56 is: 5,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.56 : 12,214.17 = 3,465.56 : x
  2. Step 2: Convert to fraction form
    8,141.56/12,214.17 = 3,465.56/x
  3. Step 3: Cross multiply
    8,141.56x = 12,214.17 × 3,465.56
  4. Step 4: Simplify right side
    8,141.56x = 42,328,925.42
  5. Step 5: Solve for x
    x = 42,328,925.42/8,141.56
  6. Step 6: Final answer
    x = 5,199.12

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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.