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Finding the Fourth Proportional to 8,503.74, 12,758.16 and 4,121.34

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Solution

The fourth proportional to 8,503.74, 12,758.16 and 4,121.34 is: 6,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.74 : 12,758.16 = 4,121.34 : x
  2. Step 2: Convert to fraction form
    8,503.74/12,758.16 = 4,121.34/x
  3. Step 3: Cross multiply
    8,503.74x = 12,758.16 × 4,121.34
  4. Step 4: Simplify right side
    8,503.74x = 52,580,715.13
  5. Step 5: Solve for x
    x = 52,580,715.13/8,503.74
  6. Step 6: Final answer
    x = 6,183.25

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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.