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Finding the Fourth Proportional to 10,657.88, 15,977.08 and 3,728.60

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Solution

The fourth proportional to 10,657.88, 15,977.08 and 3,728.60 is: 5,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.88 : 15,977.08 = 3,728.60 : x
  2. Step 2: Convert to fraction form
    10,657.88/15,977.08 = 3,728.60/x
  3. Step 3: Cross multiply
    10,657.88x = 15,977.08 × 3,728.60
  4. Step 4: Simplify right side
    10,657.88x = 59,572,140.49
  5. Step 5: Solve for x
    x = 59,572,140.49/10,657.88
  6. Step 6: Final answer
    x = 5,589.49

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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.