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Finding the Fourth Proportional to 10,527.92, 15,798 and 4,286.96

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Solution

The fourth proportional to 10,527.92, 15,798 and 4,286.96 is: 6,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.92 : 15,798 = 4,286.96 : x
  2. Step 2: Convert to fraction form
    10,527.92/15,798 = 4,286.96/x
  3. Step 3: Cross multiply
    10,527.92x = 15,798 × 4,286.96
  4. Step 4: Simplify right side
    10,527.92x = 67,725,394.08
  5. Step 5: Solve for x
    x = 67,725,394.08/10,527.92
  6. Step 6: Final answer
    x = 6,432.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.