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Finding the Fourth Proportional to 11,598.79, 17,396.00 and 3,278.74

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Solution

The fourth proportional to 11,598.79, 17,396.00 and 3,278.74 is: 4,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.79 : 17,396.00 = 3,278.74 : x
  2. Step 2: Convert to fraction form
    11,598.79/17,396.00 = 3,278.74/x
  3. Step 3: Cross multiply
    11,598.79x = 17,396.00 × 3,278.74
  4. Step 4: Simplify right side
    11,598.79x = 57,037,012.73
  5. Step 5: Solve for x
    x = 57,037,012.73/11,598.79
  6. Step 6: Final answer
    x = 4,917.50

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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.