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Finding the Fourth Proportional to 6,405.75, 8,839.83 and 5,155.52

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Solution

The fourth proportional to 6,405.75, 8,839.83 and 5,155.52 is: 7,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.75 : 8,839.83 = 5,155.52 : x
  2. Step 2: Convert to fraction form
    6,405.75/8,839.83 = 5,155.52/x
  3. Step 3: Cross multiply
    6,405.75x = 8,839.83 × 5,155.52
  4. Step 4: Simplify right side
    6,405.75x = 45,573,895.50
  5. Step 5: Solve for x
    x = 45,573,895.50/6,405.75
  6. Step 6: Final answer
    x = 7,114.53

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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.