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Finding the Fourth Proportional to 10,528.69, 14,528.41 and 5,811.79

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Solution

The fourth proportional to 10,528.69, 14,528.41 and 5,811.79 is: 8,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.69 : 14,528.41 = 5,811.79 : x
  2. Step 2: Convert to fraction form
    10,528.69/14,528.41 = 5,811.79/x
  3. Step 3: Cross multiply
    10,528.69x = 14,528.41 × 5,811.79
  4. Step 4: Simplify right side
    10,528.69x = 84,436,067.95
  5. Step 5: Solve for x
    x = 84,436,067.95/10,528.69
  6. Step 6: Final answer
    x = 8,019.62

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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.