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Finding the Fourth Proportional to 11,803.05, 16,288.38 and 6,497.76

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Solution

The fourth proportional to 11,803.05, 16,288.38 and 6,497.76 is: 8,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.05 : 16,288.38 = 6,497.76 : x
  2. Step 2: Convert to fraction form
    11,803.05/16,288.38 = 6,497.76/x
  3. Step 3: Cross multiply
    11,803.05x = 16,288.38 × 6,497.76
  4. Step 4: Simplify right side
    11,803.05x = 105,837,984.03
  5. Step 5: Solve for x
    x = 105,837,984.03/11,803.05
  6. Step 6: Final answer
    x = 8,967.00

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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.