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Finding the Fourth Proportional to 11,599.00, 17,399.86 and 8,695.76

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Solution

The fourth proportional to 11,599.00, 17,399.86 and 8,695.76 is: 13,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.00 : 17,399.86 = 8,695.76 : x
  2. Step 2: Convert to fraction form
    11,599.00/17,399.86 = 8,695.76/x
  3. Step 3: Cross multiply
    11,599.00x = 17,399.86 × 8,695.76
  4. Step 4: Simplify right side
    11,599.00x = 151,304,946.77
  5. Step 5: Solve for x
    x = 151,304,946.77/11,599.00
  6. Step 6: Final answer
    x = 13,044.66

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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.