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Finding the Fourth Proportional to 11,188.92, 16,776.02 and 6,259.08

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Solution

The fourth proportional to 11,188.92, 16,776.02 and 6,259.08 is: 9,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.92 : 16,776.02 = 6,259.08 : x
  2. Step 2: Convert to fraction form
    11,188.92/16,776.02 = 6,259.08/x
  3. Step 3: Cross multiply
    11,188.92x = 16,776.02 × 6,259.08
  4. Step 4: Simplify right side
    11,188.92x = 105,002,451.26
  5. Step 5: Solve for x
    x = 105,002,451.26/11,188.92
  6. Step 6: Final answer
    x = 9,384.50

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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.