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Finding the Fourth Proportional to 6,503.95, 8,984.64 and 5,175.96

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Solution

The fourth proportional to 6,503.95, 8,984.64 and 5,175.96 is: 7,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.95 : 8,984.64 = 5,175.96 : x
  2. Step 2: Convert to fraction form
    6,503.95/8,984.64 = 5,175.96/x
  3. Step 3: Cross multiply
    6,503.95x = 8,984.64 × 5,175.96
  4. Step 4: Simplify right side
    6,503.95x = 46,504,122.97
  5. Step 5: Solve for x
    x = 46,504,122.97/6,503.95
  6. Step 6: Final answer
    x = 7,150.13

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