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Finding the Fourth Proportional to 8,134.56, 12,197.48 and 2,586.40

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Solution

The fourth proportional to 8,134.56, 12,197.48 and 2,586.40 is: 3,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.56 : 12,197.48 = 2,586.40 : x
  2. Step 2: Convert to fraction form
    8,134.56/12,197.48 = 2,586.40/x
  3. Step 3: Cross multiply
    8,134.56x = 12,197.48 × 2,586.40
  4. Step 4: Simplify right side
    8,134.56x = 31,547,562.27
  5. Step 5: Solve for x
    x = 31,547,562.27/8,134.56
  6. Step 6: Final answer
    x = 3,878.21

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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.