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Finding the Fourth Proportional to 7,817.38, 11,707.30 and 4,475.50

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Solution

The fourth proportional to 7,817.38, 11,707.30 and 4,475.50 is: 6,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.38 : 11,707.30 = 4,475.50 : x
  2. Step 2: Convert to fraction form
    7,817.38/11,707.30 = 4,475.50/x
  3. Step 3: Cross multiply
    7,817.38x = 11,707.30 × 4,475.50
  4. Step 4: Simplify right side
    7,817.38x = 52,396,021.15
  5. Step 5: Solve for x
    x = 52,396,021.15/7,817.38
  6. Step 6: Final answer
    x = 6,702.50

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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.