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Finding the Fourth Proportional to 7,885.79, 11,830.85 and 4,137.81

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Solution

The fourth proportional to 7,885.79, 11,830.85 and 4,137.81 is: 6,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.79 : 11,830.85 = 4,137.81 : x
  2. Step 2: Convert to fraction form
    7,885.79/11,830.85 = 4,137.81/x
  3. Step 3: Cross multiply
    7,885.79x = 11,830.85 × 4,137.81
  4. Step 4: Simplify right side
    7,885.79x = 48,953,809.44
  5. Step 5: Solve for x
    x = 48,953,809.44/7,885.79
  6. Step 6: Final answer
    x = 6,207.85

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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.