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Finding the Fourth Proportional to 7,104.74, 10,659.30 and 2,946.68

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Solution

The fourth proportional to 7,104.74, 10,659.30 and 2,946.68 is: 4,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.74 : 10,659.30 = 2,946.68 : x
  2. Step 2: Convert to fraction form
    7,104.74/10,659.30 = 2,946.68/x
  3. Step 3: Cross multiply
    7,104.74x = 10,659.30 × 2,946.68
  4. Step 4: Simplify right side
    7,104.74x = 31,409,546.12
  5. Step 5: Solve for x
    x = 31,409,546.12/7,104.74
  6. Step 6: Final answer
    x = 4,420.93

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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.