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Finding the Fourth Proportional to 10,788.69, 16,198.02 and 7,114.53

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Solution

The fourth proportional to 10,788.69, 16,198.02 and 7,114.53 is: 10,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.69 : 16,198.02 = 7,114.53 : x
  2. Step 2: Convert to fraction form
    10,788.69/16,198.02 = 7,114.53/x
  3. Step 3: Cross multiply
    10,788.69x = 16,198.02 × 7,114.53
  4. Step 4: Simplify right side
    10,788.69x = 115,241,299.23
  5. Step 5: Solve for x
    x = 115,241,299.23/10,788.69
  6. Step 6: Final answer
    x = 10,681.68

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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.