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Finding the Fourth Proportional to 10,258.75, 14,157.08 and 5,543.03

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Solution

The fourth proportional to 10,258.75, 14,157.08 and 5,543.03 is: 7,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.75 : 14,157.08 = 5,543.03 : x
  2. Step 2: Convert to fraction form
    10,258.75/14,157.08 = 5,543.03/x
  3. Step 3: Cross multiply
    10,258.75x = 14,157.08 × 5,543.03
  4. Step 4: Simplify right side
    10,258.75x = 78,473,147.62
  5. Step 5: Solve for x
    x = 78,473,147.62/10,258.75
  6. Step 6: Final answer
    x = 7,649.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.