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Finding the Fourth Proportional to 11,637.56, 16,059.75 and 6,332.40

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Solution

The fourth proportional to 11,637.56, 16,059.75 and 6,332.40 is: 8,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.56 : 16,059.75 = 6,332.40 : x
  2. Step 2: Convert to fraction form
    11,637.56/16,059.75 = 6,332.40/x
  3. Step 3: Cross multiply
    11,637.56x = 16,059.75 × 6,332.40
  4. Step 4: Simplify right side
    11,637.56x = 101,696,760.90
  5. Step 5: Solve for x
    x = 101,696,760.90/11,637.56
  6. Step 6: Final answer
    x = 8,738.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.