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Finding the Fourth Proportional to 11,811.50, 16,298.45 and 6,775.46

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Solution

The fourth proportional to 11,811.50, 16,298.45 and 6,775.46 is: 9,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.50 : 16,298.45 = 6,775.46 : x
  2. Step 2: Convert to fraction form
    11,811.50/16,298.45 = 6,775.46/x
  3. Step 3: Cross multiply
    11,811.50x = 16,298.45 × 6,775.46
  4. Step 4: Simplify right side
    11,811.50x = 110,429,496.04
  5. Step 5: Solve for x
    x = 110,429,496.04/11,811.50
  6. Step 6: Final answer
    x = 9,349.32

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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.