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Finding the Fourth Proportional to 11,686.81, 17,519.79 and 4,289.55

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Solution

The fourth proportional to 11,686.81, 17,519.79 and 4,289.55 is: 6,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.81 : 17,519.79 = 4,289.55 : x
  2. Step 2: Convert to fraction form
    11,686.81/17,519.79 = 4,289.55/x
  3. Step 3: Cross multiply
    11,686.81x = 17,519.79 × 4,289.55
  4. Step 4: Simplify right side
    11,686.81x = 75,152,058.99
  5. Step 5: Solve for x
    x = 75,152,058.99/11,686.81
  6. Step 6: Final answer
    x = 6,430.50

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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.