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Finding the Fourth Proportional to 7,142.10, 10,725.30 and 5,295.30

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Solution

The fourth proportional to 7,142.10, 10,725.30 and 5,295.30 is: 7,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.10 : 10,725.30 = 5,295.30 : x
  2. Step 2: Convert to fraction form
    7,142.10/10,725.30 = 5,295.30/x
  3. Step 3: Cross multiply
    7,142.10x = 10,725.30 × 5,295.30
  4. Step 4: Simplify right side
    7,142.10x = 56,793,681.09
  5. Step 5: Solve for x
    x = 56,793,681.09/7,142.10
  6. Step 6: Final answer
    x = 7,951.96

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