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Finding the Fourth Proportional to 11,597.00, 17,396.64 and 3,277.08

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Solution

The fourth proportional to 11,597.00, 17,396.64 and 3,277.08 is: 4,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.00 : 17,396.64 = 3,277.08 : x
  2. Step 2: Convert to fraction form
    11,597.00/17,396.64 = 3,277.08/x
  3. Step 3: Cross multiply
    11,597.00x = 17,396.64 × 3,277.08
  4. Step 4: Simplify right side
    11,597.00x = 57,010,210.95
  5. Step 5: Solve for x
    x = 57,010,210.95/11,597.00
  6. Step 6: Final answer
    x = 4,915.94

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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.