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Finding the Fourth Proportional to 10,554.12, 15,832.80 and 3,627

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Solution

The fourth proportional to 10,554.12, 15,832.80 and 3,627 is: 5,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.12 : 15,832.80 = 3,627 : x
  2. Step 2: Convert to fraction form
    10,554.12/15,832.80 = 3,627/x
  3. Step 3: Cross multiply
    10,554.12x = 15,832.80 × 3,627
  4. Step 4: Simplify right side
    10,554.12x = 57,425,565.60
  5. Step 5: Solve for x
    x = 57,425,565.60/10,554.12
  6. Step 6: Final answer
    x = 5,441.06

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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.