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Finding the Fourth Proportional to 10,527.68, 14,528.22 and 5,811.98

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Solution

The fourth proportional to 10,527.68, 14,528.22 and 5,811.98 is: 8,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.68 : 14,528.22 = 5,811.98 : x
  2. Step 2: Convert to fraction form
    10,527.68/14,528.22 = 5,811.98/x
  3. Step 3: Cross multiply
    10,527.68x = 14,528.22 × 5,811.98
  4. Step 4: Simplify right side
    10,527.68x = 84,437,724.08
  5. Step 5: Solve for x
    x = 84,437,724.08/10,527.68
  6. Step 6: Final answer
    x = 8,020.54

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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.