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Finding the Fourth Proportional to 10,527.78, 14,528.79 and 5,811.96

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Solution

The fourth proportional to 10,527.78, 14,528.79 and 5,811.96 is: 8,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.78 : 14,528.79 = 5,811.96 : x
  2. Step 2: Convert to fraction form
    10,527.78/14,528.79 = 5,811.96/x
  3. Step 3: Cross multiply
    10,527.78x = 14,528.79 × 5,811.96
  4. Step 4: Simplify right side
    10,527.78x = 84,440,746.33
  5. Step 5: Solve for x
    x = 84,440,746.33/10,527.78
  6. Step 6: Final answer
    x = 8,020.76

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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.