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Finding the Fourth Proportional to 10,661.84, 15,999.88 and 3,736.34

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Solution

The fourth proportional to 10,661.84, 15,999.88 and 3,736.34 is: 5,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.84 : 15,999.88 = 3,736.34 : x
  2. Step 2: Convert to fraction form
    10,661.84/15,999.88 = 3,736.34/x
  3. Step 3: Cross multiply
    10,661.84x = 15,999.88 × 3,736.34
  4. Step 4: Simplify right side
    10,661.84x = 59,780,991.64
  5. Step 5: Solve for x
    x = 59,780,991.64/10,661.84
  6. Step 6: Final answer
    x = 5,607.01

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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.