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Finding the Fourth Proportional to 7,842.61, 11,756.61 and 3,457.67

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Solution

The fourth proportional to 7,842.61, 11,756.61 and 3,457.67 is: 5,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.61 : 11,756.61 = 3,457.67 : x
  2. Step 2: Convert to fraction form
    7,842.61/11,756.61 = 3,457.67/x
  3. Step 3: Cross multiply
    7,842.61x = 11,756.61 × 3,457.67
  4. Step 4: Simplify right side
    7,842.61x = 40,650,477.70
  5. Step 5: Solve for x
    x = 40,650,477.70/7,842.61
  6. Step 6: Final answer
    x = 5,183.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.