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Finding the Fourth Proportional to 8,097.23, 11,176.98 and 4,741.13

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Solution

The fourth proportional to 8,097.23, 11,176.98 and 4,741.13 is: 6,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.23 : 11,176.98 = 4,741.13 : x
  2. Step 2: Convert to fraction form
    8,097.23/11,176.98 = 4,741.13/x
  3. Step 3: Cross multiply
    8,097.23x = 11,176.98 × 4,741.13
  4. Step 4: Simplify right side
    8,097.23x = 52,991,480.26
  5. Step 5: Solve for x
    x = 52,991,480.26/8,097.23
  6. Step 6: Final answer
    x = 6,544.39

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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.