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Finding the Fourth Proportional to 10,527.94, 14,528.86 and 5,812.52

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Solution

The fourth proportional to 10,527.94, 14,528.86 and 5,812.52 is: 8,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.94 : 14,528.86 = 5,812.52 : x
  2. Step 2: Convert to fraction form
    10,527.94/14,528.86 = 5,812.52/x
  3. Step 3: Cross multiply
    10,527.94x = 14,528.86 × 5,812.52
  4. Step 4: Simplify right side
    10,527.94x = 84,449,289.33
  5. Step 5: Solve for x
    x = 84,449,289.33/10,527.94
  6. Step 6: Final answer
    x = 8,021.44

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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.