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Finding the Fourth Proportional to 8,145.10, 12,215.14 and 3,146.32

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Solution

The fourth proportional to 8,145.10, 12,215.14 and 3,146.32 is: 4,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.10 : 12,215.14 = 3,146.32 : x
  2. Step 2: Convert to fraction form
    8,145.10/12,215.14 = 3,146.32/x
  3. Step 3: Cross multiply
    8,145.10x = 12,215.14 × 3,146.32
  4. Step 4: Simplify right side
    8,145.10x = 38,432,739.28
  5. Step 5: Solve for x
    x = 38,432,739.28/8,145.10
  6. Step 6: Final answer
    x = 4,718.51

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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.