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Finding the Fourth Proportional to 10,527.53, 14,528.11 and 5,811.81

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Solution

The fourth proportional to 10,527.53, 14,528.11 and 5,811.81 is: 8,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.53 : 14,528.11 = 5,811.81 : x
  2. Step 2: Convert to fraction form
    10,527.53/14,528.11 = 5,811.81/x
  3. Step 3: Cross multiply
    10,527.53x = 14,528.11 × 5,811.81
  4. Step 4: Simplify right side
    10,527.53x = 84,434,614.98
  5. Step 5: Solve for x
    x = 84,434,614.98/10,527.53
  6. Step 6: Final answer
    x = 8,020.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.