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Finding the Fourth Proportional to 6,877.35, 10,317.57 and 3,544.23

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Solution

The fourth proportional to 6,877.35, 10,317.57 and 3,544.23 is: 5,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.35 : 10,317.57 = 3,544.23 : x
  2. Step 2: Convert to fraction form
    6,877.35/10,317.57 = 3,544.23/x
  3. Step 3: Cross multiply
    6,877.35x = 10,317.57 × 3,544.23
  4. Step 4: Simplify right side
    6,877.35x = 36,567,841.12
  5. Step 5: Solve for x
    x = 36,567,841.12/6,877.35
  6. Step 6: Final answer
    x = 5,317.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.