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Finding the Fourth Proportional to 10,527.96, 14,528.70 and 5,811.96

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Solution

The fourth proportional to 10,527.96, 14,528.70 and 5,811.96 is: 8,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.96 : 14,528.70 = 5,811.96 : x
  2. Step 2: Convert to fraction form
    10,527.96/14,528.70 = 5,811.96/x
  3. Step 3: Cross multiply
    10,527.96x = 14,528.70 × 5,811.96
  4. Step 4: Simplify right side
    10,527.96x = 84,440,223.25
  5. Step 5: Solve for x
    x = 84,440,223.25/10,527.96
  6. Step 6: Final answer
    x = 8,020.57

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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.