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Finding the Fourth Proportional to 8,440.54, 12,662.17 and 2,597.14

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Solution

The fourth proportional to 8,440.54, 12,662.17 and 2,597.14 is: 3,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.54 : 12,662.17 = 2,597.14 : x
  2. Step 2: Convert to fraction form
    8,440.54/12,662.17 = 2,597.14/x
  3. Step 3: Cross multiply
    8,440.54x = 12,662.17 × 2,597.14
  4. Step 4: Simplify right side
    8,440.54x = 32,885,437.53
  5. Step 5: Solve for x
    x = 32,885,437.53/8,440.54
  6. Step 6: Final answer
    x = 3,896.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.