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Finding the Fourth Proportional to 8,507.40, 12,751.98 and 4,118.82

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Solution

The fourth proportional to 8,507.40, 12,751.98 and 4,118.82 is: 6,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.40 : 12,751.98 = 4,118.82 : x
  2. Step 2: Convert to fraction form
    8,507.40/12,751.98 = 4,118.82/x
  3. Step 3: Cross multiply
    8,507.40x = 12,751.98 × 4,118.82
  4. Step 4: Simplify right side
    8,507.40x = 52,523,110.26
  5. Step 5: Solve for x
    x = 52,523,110.26/8,507.40
  6. Step 6: Final answer
    x = 6,173.81

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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.