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Finding the Fourth Proportional to 8,507, 12,751.38 and 4,114.78

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Solution

The fourth proportional to 8,507, 12,751.38 and 4,114.78 is: 6,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507 : 12,751.38 = 4,114.78 : x
  2. Step 2: Convert to fraction form
    8,507/12,751.38 = 4,114.78/x
  3. Step 3: Cross multiply
    8,507x = 12,751.38 × 4,114.78
  4. Step 4: Simplify right side
    8,507x = 52,469,123.40
  5. Step 5: Solve for x
    x = 52,469,123.40/8,507
  6. Step 6: Final answer
    x = 6,167.76

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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.