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Finding the Fourth Proportional to 7,104.64, 10,654.65 and 3,355.84

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Solution

The fourth proportional to 7,104.64, 10,654.65 and 3,355.84 is: 5,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.64 : 10,654.65 = 3,355.84 : x
  2. Step 2: Convert to fraction form
    7,104.64/10,654.65 = 3,355.84/x
  3. Step 3: Cross multiply
    7,104.64x = 10,654.65 × 3,355.84
  4. Step 4: Simplify right side
    7,104.64x = 35,755,274.02
  5. Step 5: Solve for x
    x = 35,755,274.02/7,104.64
  6. Step 6: Final answer
    x = 5,032.67

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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.