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Finding the Fourth Proportional to 7,282.56, 10,938.56 and 4,366.40

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Solution

The fourth proportional to 7,282.56, 10,938.56 and 4,366.40 is: 6,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.56 : 10,938.56 = 4,366.40 : x
  2. Step 2: Convert to fraction form
    7,282.56/10,938.56 = 4,366.40/x
  3. Step 3: Cross multiply
    7,282.56x = 10,938.56 × 4,366.40
  4. Step 4: Simplify right side
    7,282.56x = 47,762,128.38
  5. Step 5: Solve for x
    x = 47,762,128.38/7,282.56
  6. Step 6: Final answer
    x = 6,558.43

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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.