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Finding the Fourth Proportional to 10,654.73, 15,987.57 and 4,735.68

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Solution

The fourth proportional to 10,654.73, 15,987.57 and 4,735.68 is: 7,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.73 : 15,987.57 = 4,735.68 : x
  2. Step 2: Convert to fraction form
    10,654.73/15,987.57 = 4,735.68/x
  3. Step 3: Cross multiply
    10,654.73x = 15,987.57 × 4,735.68
  4. Step 4: Simplify right side
    10,654.73x = 75,712,015.50
  5. Step 5: Solve for x
    x = 75,712,015.50/10,654.73
  6. Step 6: Final answer
    x = 7,105.96

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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.