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Finding the Fourth Proportional to 11,637.61, 16,059.94 and 6,332.45

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Solution

The fourth proportional to 11,637.61, 16,059.94 and 6,332.45 is: 8,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.61 : 16,059.94 = 6,332.45 : x
  2. Step 2: Convert to fraction form
    11,637.61/16,059.94 = 6,332.45/x
  3. Step 3: Cross multiply
    11,637.61x = 16,059.94 × 6,332.45
  4. Step 4: Simplify right side
    11,637.61x = 101,698,670.92
  5. Step 5: Solve for x
    x = 101,698,670.92/11,637.61
  6. Step 6: Final answer
    x = 8,738.80

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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.