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Finding the Fourth Proportional to 10,657.34, 15,993.12 and 3,731.84

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Solution

The fourth proportional to 10,657.34, 15,993.12 and 3,731.84 is: 5,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.34 : 15,993.12 = 3,731.84 : x
  2. Step 2: Convert to fraction form
    10,657.34/15,993.12 = 3,731.84/x
  3. Step 3: Cross multiply
    10,657.34x = 15,993.12 × 3,731.84
  4. Step 4: Simplify right side
    10,657.34x = 59,683,764.94
  5. Step 5: Solve for x
    x = 59,683,764.94/10,657.34
  6. Step 6: Final answer
    x = 5,600.25

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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.