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Finding the Fourth Proportional to 10,527.05, 14,527.31 and 5,811.33

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Solution

The fourth proportional to 10,527.05, 14,527.31 and 5,811.33 is: 8,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.05 : 14,527.31 = 5,811.33 : x
  2. Step 2: Convert to fraction form
    10,527.05/14,527.31 = 5,811.33/x
  3. Step 3: Cross multiply
    10,527.05x = 14,527.31 × 5,811.33
  4. Step 4: Simplify right side
    10,527.05x = 84,422,992.42
  5. Step 5: Solve for x
    x = 84,422,992.42/10,527.05
  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.