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Finding the Fourth Proportional to 8,143.79, 12,215.69 and 2,597.15

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Solution

The fourth proportional to 8,143.79, 12,215.69 and 2,597.15 is: 3,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.79 : 12,215.69 = 2,597.15 : x
  2. Step 2: Convert to fraction form
    8,143.79/12,215.69 = 2,597.15/x
  3. Step 3: Cross multiply
    8,143.79x = 12,215.69 × 2,597.15
  4. Step 4: Simplify right side
    8,143.79x = 31,725,905.22
  5. Step 5: Solve for x
    x = 31,725,905.22/8,143.79
  6. Step 6: Final answer
    x = 3,895.72

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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.