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Finding the Fourth Proportional to 11,506.69, 15,867.54 and 10,836.99

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Solution

The fourth proportional to 11,506.69, 15,867.54 and 10,836.99 is: 14,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.69 : 15,867.54 = 10,836.99 : x
  2. Step 2: Convert to fraction form
    11,506.69/15,867.54 = 10,836.99/x
  3. Step 3: Cross multiply
    11,506.69x = 15,867.54 × 10,836.99
  4. Step 4: Simplify right side
    11,506.69x = 171,956,372.30
  5. Step 5: Solve for x
    x = 171,956,372.30/11,506.69
  6. Step 6: Final answer
    x = 14,944.03

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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.