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Finding the Fourth Proportional to 11,505.69, 15,866.16 and 10,835.99

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Solution

The fourth proportional to 11,505.69, 15,866.16 and 10,835.99 is: 14,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.69 : 15,866.16 = 10,835.99 : x
  2. Step 2: Convert to fraction form
    11,505.69/15,866.16 = 10,835.99/x
  3. Step 3: Cross multiply
    11,505.69x = 15,866.16 × 10,835.99
  4. Step 4: Simplify right side
    11,505.69x = 171,925,471.77
  5. Step 5: Solve for x
    x = 171,925,471.77/11,505.69
  6. Step 6: Final answer
    x = 14,942.65

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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.