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Finding the Fourth Proportional to 10,505.50, 15,747.62 and 6,810.08

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Solution

The fourth proportional to 10,505.50, 15,747.62 and 6,810.08 is: 10,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.50 : 15,747.62 = 6,810.08 : x
  2. Step 2: Convert to fraction form
    10,505.50/15,747.62 = 6,810.08/x
  3. Step 3: Cross multiply
    10,505.50x = 15,747.62 × 6,810.08
  4. Step 4: Simplify right side
    10,505.50x = 107,242,439.22
  5. Step 5: Solve for x
    x = 107,242,439.22/10,505.50
  6. Step 6: Final answer
    x = 10,208.22

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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.