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Finding the Fourth Proportional to 6,107.30, 8,567.50 and 6,107.30

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Solution

The fourth proportional to 6,107.30, 8,567.50 and 6,107.30 is: 8,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.30 : 8,567.50 = 6,107.30 : x
  2. Step 2: Convert to fraction form
    6,107.30/8,567.50 = 6,107.30/x
  3. Step 3: Cross multiply
    6,107.30x = 8,567.50 × 6,107.30
  4. Step 4: Simplify right side
    6,107.30x = 52,324,292.75
  5. Step 5: Solve for x
    x = 52,324,292.75/6,107.30
  6. Step 6: Final answer
    x = 8,567.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.