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Finding the Fourth Proportional to 7,846.60, 11,775.70 and 3,166.60

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Solution

The fourth proportional to 7,846.60, 11,775.70 and 3,166.60 is: 4,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.60 : 11,775.70 = 3,166.60 : x
  2. Step 2: Convert to fraction form
    7,846.60/11,775.70 = 3,166.60/x
  3. Step 3: Cross multiply
    7,846.60x = 11,775.70 × 3,166.60
  4. Step 4: Simplify right side
    7,846.60x = 37,288,931.62
  5. Step 5: Solve for x
    x = 37,288,931.62/7,846.60
  6. Step 6: Final answer
    x = 4,752.24

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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.