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Finding the Fourth Proportional to 7,860.43, 11,790.74 and 3,117.74

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Solution

The fourth proportional to 7,860.43, 11,790.74 and 3,117.74 is: 4,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.43 : 11,790.74 = 3,117.74 : x
  2. Step 2: Convert to fraction form
    7,860.43/11,790.74 = 3,117.74/x
  3. Step 3: Cross multiply
    7,860.43x = 11,790.74 × 3,117.74
  4. Step 4: Simplify right side
    7,860.43x = 36,760,503.57
  5. Step 5: Solve for x
    x = 36,760,503.57/7,860.43
  6. Step 6: Final answer
    x = 4,676.65

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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.