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Finding the Fourth Proportional to 11,803.92, 16,290.56 and 6,499.80

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Solution

The fourth proportional to 11,803.92, 16,290.56 and 6,499.80 is: 8,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.92 : 16,290.56 = 6,499.80 : x
  2. Step 2: Convert to fraction form
    11,803.92/16,290.56 = 6,499.80/x
  3. Step 3: Cross multiply
    11,803.92x = 16,290.56 × 6,499.80
  4. Step 4: Simplify right side
    11,803.92x = 105,885,381.89
  5. Step 5: Solve for x
    x = 105,885,381.89/11,803.92
  6. Step 6: Final answer
    x = 8,970.36

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