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Finding the Fourth Proportional to 11,243.84, 16,869.60 and 5,768

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Solution

The fourth proportional to 11,243.84, 16,869.60 and 5,768 is: 8,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.84 : 16,869.60 = 5,768 : x
  2. Step 2: Convert to fraction form
    11,243.84/16,869.60 = 5,768/x
  3. Step 3: Cross multiply
    11,243.84x = 16,869.60 × 5,768
  4. Step 4: Simplify right side
    11,243.84x = 97,303,852.80
  5. Step 5: Solve for x
    x = 97,303,852.80/11,243.84
  6. Step 6: Final answer
    x = 8,653.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.