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Finding the Fourth Proportional to 11,637.61, 16,059.87 and 6,332.39

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Solution

The fourth proportional to 11,637.61, 16,059.87 and 6,332.39 is: 8,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.61 : 16,059.87 = 6,332.39 : x
  2. Step 2: Convert to fraction form
    11,637.61/16,059.87 = 6,332.39/x
  3. Step 3: Cross multiply
    11,637.61x = 16,059.87 × 6,332.39
  4. Step 4: Simplify right side
    11,637.61x = 101,697,340.11
  5. Step 5: Solve for x
    x = 101,697,340.11/11,637.61
  6. Step 6: Final answer
    x = 8,738.68

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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.