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Finding the Fourth Proportional to 6,617.80, 9,124.50 and 5,830.60

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Solution

The fourth proportional to 6,617.80, 9,124.50 and 5,830.60 is: 8,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.80 : 9,124.50 = 5,830.60 : x
  2. Step 2: Convert to fraction form
    6,617.80/9,124.50 = 5,830.60/x
  3. Step 3: Cross multiply
    6,617.80x = 9,124.50 × 5,830.60
  4. Step 4: Simplify right side
    6,617.80x = 53,201,309.70
  5. Step 5: Solve for x
    x = 53,201,309.70/6,617.80
  6. Step 6: Final answer
    x = 8,039.12

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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.